%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP186^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:24:41 AM UTC 2026
% Result : Theorem 12.90s 2.46s
% Output : CNFRefutation 12.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 65
% Syntax : Number of formulae : 975 ( 420 unt; 0 typ; 0 def)
% Number of atoms : 6707 (2886 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 8128 (1606 ~;1732 |; 18 &;4628 @)
% ( 0 <=>; 144 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 17 ( 16 usr)
% Number of type conns : 141 ( 141 >; 0 *; 0 +; 0 <<)
% Number of symbols : 149 ( 146 usr; 15 con; 0-12 aty)
% Number of variables : 2490 ( 0 ^;2490 !; 0 ?;2490 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_late_freeRes,type,
late_freeRes: $tType ).
thf(tp_late_residual,type,
late_residual: $tType ).
thf(tp_late_subject,type,
late_subject: $tType ).
thf(tp_name,type,
name: $tType ).
thf(tp_noptio1926134715n_name,type,
noptio1926134715n_name: $tType ).
thf(tp_noptio2087446135ion_pi,type,
noptio2087446135ion_pi: $tType ).
thf(tp_noptio354675977ion_pi,type,
noptio354675977ion_pi: $tType ).
thf(tp_noptio435234344reeRes,type,
noptio435234344reeRes: $tType ).
thf(tp_noptio570777408ubject,type,
noptio570777408ubject: $tType ).
thf(tp_noptio751120898ion_pi,type,
noptio751120898ion_pi: $tType ).
thf(tp_noption_Late_freeRes,type,
noption_Late_freeRes: $tType ).
thf(tp_noption_Late_subject,type,
noption_Late_subject: $tType ).
thf(tp_noption_name,type,
noption_name: $tType ).
thf(tp_noption_pi,type,
noption_pi: $tType ).
thf(tp_pi,type,
pi: $tType ).
thf(tp_set_name,type,
set_name: $tType ).
thf(tp_a,type,
a: name ).
thf(tp_abs_fu1394407909n_name,type,
abs_fu1394407909n_name: name > ( name > noption_name ) > name > noptio1926134715n_name ).
thf(tp_abs_fu1614711987ion_pi,type,
abs_fu1614711987ion_pi: name > ( name > noption_pi ) > name > noptio354675977ion_pi ).
thf(tp_abs_fu1682643010ion_pi,type,
abs_fu1682643010ion_pi: name > ( late_freeRes > pi > name > noption_pi ) > name > noptio751120898ion_pi ).
thf(tp_abs_fu1705804544ubject,type,
abs_fu1705804544ubject: name > ( name > noption_Late_subject ) > name > noptio570777408ubject ).
thf(tp_abs_fu1763130856reeRes,type,
abs_fu1763130856reeRes: name > ( name > noption_Late_freeRes ) > name > noptio435234344reeRes ).
thf(tp_abs_fu1904601852ubject,type,
abs_fu1904601852ubject: name > late_subject > name > noption_Late_subject ).
thf(tp_abs_fu446471607ion_pi,type,
abs_fu446471607ion_pi: name > ( name > noptio354675977ion_pi ) > name > noptio2087446135ion_pi ).
thf(tp_abs_fu681348580reeRes,type,
abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes ).
thf(tp_abs_fun_name_name,type,
abs_fun_name_name: name > name > name > noption_name ).
thf(tp_abs_fun_name_pi,type,
abs_fun_name_pi: name > pi > name > noption_pi ).
thf(tp_alpha,type,
alpha: late_freeRes ).
thf(tp_b,type,
b: name ).
thf(tp_bang,type,
bang: pi > pi ).
thf(tp_collect_name,type,
collect_name: ( name > $o ) > set_name ).
thf(tp_finite_finite_name,type,
finite_finite_name: set_name > $o ).
thf(tp_fresh_1011532071_pi_pi,type,
fresh_1011532071_pi_pi: name > ( late_freeRes > pi > pi ) > $o ).
thf(tp_fresh_1030632537i_name,type,
fresh_1030632537i_name: name > ( late_freeRes > pi > name ) > $o ).
thf(tp_fresh_1093033124n_name,type,
fresh_1093033124n_name: name > ( name > noption_name ) > $o ).
thf(tp_fresh_1215331279reeRes,type,
fresh_1215331279reeRes: name > ( name > noptio435234344reeRes ) > $o ).
thf(tp_fresh_1438126218_pi_pi,type,
fresh_1438126218_pi_pi: name > ( late_subject > name > pi > pi ) > $o ).
thf(tp_fresh_1575363742ion_pi,type,
fresh_1575363742ion_pi: name > ( name > noptio2087446135ion_pi ) > $o ).
thf(tp_fresh_1641682979reeRes,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(tp_fresh_1742414570n_name,type,
fresh_1742414570n_name: name > ( name > noptio1926134715n_name ) > $o ).
thf(tp_fresh_198785932ubject,type,
fresh_198785932ubject: name > ( late_freeRes > pi > late_subject ) > $o ).
thf(tp_fresh_256112244reeRes,type,
fresh_256112244reeRes: name > ( late_freeRes > pi > late_freeRes ) > $o ).
thf(tp_fresh_481208489ion_pi,type,
fresh_481208489ion_pi: name > ( name > noptio751120898ion_pi ) > $o ).
thf(tp_fresh_543891186ion_pi,type,
fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
thf(tp_fresh_600418535ubject,type,
fresh_600418535ubject: name > ( name > noptio570777408ubject ) > $o ).
thf(tp_fresh_621211324i_name,type,
fresh_621211324i_name: name > ( late_subject > name > pi > name ) > $o ).
thf(tp_fresh_660367079reeRes,type,
fresh_660367079reeRes: name > ( late_subject > name > pi > late_freeRes ) > $o ).
thf(tp_fresh_717452603ubject,type,
fresh_717452603ubject: name > late_subject > $o ).
thf(tp_fresh_728038529ubject,type,
fresh_728038529ubject: name > ( name > noption_Late_subject ) > $o ).
thf(tp_fresh_747777846ion_pi,type,
fresh_747777846ion_pi: name > ( late_subject > name > pi > name > noption_pi ) > $o ).
thf(tp_fresh_785364841reeRes,type,
fresh_785364841reeRes: name > ( name > noption_Late_freeRes ) > $o ).
thf(tp_fresh_7927363ion_pi,type,
fresh_7927363ion_pi: name > ( late_freeRes > pi > name > noption_pi ) > $o ).
thf(tp_fresh_795910143ubject,type,
fresh_795910143ubject: name > ( late_subject > name > pi > late_subject ) > $o ).
thf(tp_fresh_81631222sidual,type,
fresh_81631222sidual: name > late_residual > $o ).
thf(tp_fresh_92802872ion_pi,type,
fresh_92802872ion_pi: name > ( name > noptio354675977ion_pi ) > $o ).
thf(tp_fresh_name_name,type,
fresh_name_name: name > name > $o ).
thf(tp_fresh_name_pi,type,
fresh_name_pi: name > pi > $o ).
thf(tp_if_name,type,
if_name: $o > name > name > name ).
thf(tp_input,type,
input: name > name > pi > pi ).
thf(tp_late_BoundOutputS,type,
late_BoundOutputS: name > late_subject ).
thf(tp_late_BoundR,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(tp_late_FreeR,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(tp_late_InputS,type,
late_InputS: name > late_subject ).
thf(tp_late_OutputR,type,
late_OutputR: name > name > late_freeRes ).
thf(tp_late_TauR,type,
late_TauR: late_freeRes ).
thf(tp_late_bangPred,type,
late_bangPred: pi > pi > $o ).
thf(tp_late_r1174711868c_name,type,
late_r1174711868c_name: ( late_subject > name > pi > name ) > ( late_freeRes > pi > name ) > late_residual > name ).
thf(tp_late_r124702629reeRes,type,
late_r124702629reeRes: ( late_subject > name > pi > late_freeRes ) > ( late_freeRes > pi > late_freeRes ) > late_residual > late_freeRes ).
thf(tp_late_r1261898622set_pi,type,
late_r1261898622set_pi: ( late_subject > name > pi > pi ) > ( late_freeRes > pi > pi ) > late_residual > pi > $o ).
thf(tp_late_r1347955901ubject,type,
late_r1347955901ubject: ( late_subject > name > pi > late_subject ) > ( late_freeRes > pi > late_subject ) > late_residual > late_subject ).
thf(tp_late_r1613948593reeRes,type,
late_r1613948593reeRes: ( late_subject > name > pi > late_freeRes ) > ( late_freeRes > pi > late_freeRes ) > late_residual > late_freeRes > $o ).
thf(tp_late_r1742481968t_name,type,
late_r1742481968t_name: ( late_subject > name > pi > name ) > ( late_freeRes > pi > name ) > late_residual > name > $o ).
thf(tp_late_r689718217ubject,type,
late_r689718217ubject: ( late_subject > name > pi > late_subject ) > ( late_freeRes > pi > late_subject ) > late_residual > late_subject > $o ).
thf(tp_late_r750878080ion_pi,type,
late_r750878080ion_pi: ( late_subject > name > pi > name > noption_pi ) > ( late_freeRes > pi > name > noption_pi ) > late_residual > ( name > noption_pi ) > $o ).
thf(tp_late_residual_rec_pi,type,
late_residual_rec_pi: ( late_subject > name > pi > pi ) > ( late_freeRes > pi > pi ) > late_residual > pi ).
thf(tp_late_transitions,type,
late_transitions: pi > late_residual > $o ).
thf(tp_match,type,
match: name > name > pi > pi ).
thf(tp_member_name,type,
member_name: name > set_name > $o ).
thf(tp_mismatch,type,
mismatch: name > name > pi > pi ).
thf(tp_output,type,
output: name > name > pi > pi ).
thf(tp_p,type,
p: pi ).
thf(tp_p2,type,
p2: pi ).
thf(tp_par,type,
par: pi > pi > pi ).
thf(tp_piNil,type,
piNil: pi ).
thf(tp_pi_rec1156860983reeRes,type,
pi_rec1156860983reeRes: late_freeRes > ( name > name > pi > late_freeRes > late_freeRes ) > ( pi > late_freeRes > late_freeRes ) > ( name > name > pi > late_freeRes > late_freeRes ) > ( name > name > pi > late_freeRes > late_freeRes ) > ( name > name > pi > late_freeRes > late_freeRes ) > ( pi > pi > late_freeRes > late_freeRes > late_freeRes ) > ( pi > pi > late_freeRes > late_freeRes > late_freeRes ) > ( name > pi > late_freeRes > late_freeRes ) > ( pi > late_freeRes > late_freeRes ) > pi > late_freeRes > $o ).
thf(tp_pi_rec232630607ubject,type,
pi_rec232630607ubject: late_subject > ( name > name > pi > late_subject > late_subject ) > ( pi > late_subject > late_subject ) > ( name > name > pi > late_subject > late_subject ) > ( name > name > pi > late_subject > late_subject ) > ( name > name > pi > late_subject > late_subject ) > ( pi > pi > late_subject > late_subject > late_subject ) > ( pi > pi > late_subject > late_subject > late_subject ) > ( name > pi > late_subject > late_subject ) > ( pi > late_subject > late_subject ) > pi > late_subject > $o ).
thf(tp_pi_rec802206470ion_pi,type,
pi_rec802206470ion_pi: ( name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( pi > ( name > noption_pi ) > name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( pi > pi > ( name > noption_pi ) > ( name > noption_pi ) > name > noption_pi ) > ( pi > pi > ( name > noption_pi ) > ( name > noption_pi ) > name > noption_pi ) > ( name > pi > ( name > noption_pi ) > name > noption_pi ) > ( pi > ( name > noption_pi ) > name > noption_pi ) > pi > ( name > noption_pi ) > $o ).
thf(tp_pi_rec_pi,type,
pi_rec_pi: pi > ( name > name > pi > pi > pi ) > ( pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( name > pi > pi > pi ) > ( pi > pi > pi ) > pi > pi ).
thf(tp_pi_rec_set_name,type,
pi_rec_set_name: name > ( name > name > pi > name > name ) > ( pi > name > name ) > ( name > name > pi > name > name ) > ( name > name > pi > name > name ) > ( name > name > pi > name > name ) > ( pi > pi > name > name > name ) > ( pi > pi > name > name > name ) > ( name > pi > name > name ) > ( pi > name > name ) > pi > name > $o ).
thf(tp_pi_rec_set_pi,type,
pi_rec_set_pi: pi > ( name > name > pi > pi > pi ) > ( pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( name > pi > pi > pi ) > ( pi > pi > pi ) > pi > pi > $o ).
thf(tp_pqr,type,
pqr: pi ).
thf(tp_q,type,
q: pi ).
thf(tp_q2,type,
q2: pi ).
thf(tp_qr,type,
qr: pi ).
thf(tp_r,type,
r: pi ).
thf(tp_res,type,
res: name > pi > pi ).
thf(tp_sK10_SY457,type,
sK10_SY457: late_residual > pi > name > name > pi ).
thf(tp_sK11_SY463,type,
sK11_SY463: late_residual > pi > name > name > pi ).
thf(tp_sK12_SY470,type,
sK12_SY470: late_residual > pi > name > name > name ).
thf(tp_sK13_SY298,type,
sK13_SY298: late_residual > ( late_residual > $o ) > late_freeRes ).
thf(tp_sK14_SY472,type,
sK14_SY472: name > pi > late_residual > name > name ).
thf(tp_sK15_SY473,type,
sK15_SY473: late_residual > ( late_residual > $o ) > pi ).
thf(tp_sK1_SY213,type,
sK1_SY213: late_freeRes > name ).
thf(tp_sK2_SY454,type,
sK2_SY454: late_freeRes > name ).
thf(tp_sK3_SY278,type,
sK3_SY278: late_freeRes > ( late_freeRes > $o ) > name ).
thf(tp_sK4_SY295,type,
sK4_SY295: late_residual > ( late_residual > $o ) > late_subject ).
thf(tp_sK5_SY466,type,
sK5_SY466: late_freeRes > ( late_freeRes > $o ) > name ).
thf(tp_sK6_SY384,type,
sK6_SY384: late_residual > pi > pi ).
thf(tp_sK7_SY467,type,
sK7_SY467: late_residual > ( late_residual > $o ) > name ).
thf(tp_sK8_SY407,type,
sK8_SY407: late_residual > pi > pi ).
thf(tp_sK9_SY469,type,
sK9_SY469: late_residual > ( late_residual > $o ) > pi ).
thf(tp_subs,type,
subs: pi > name > name > pi ).
thf(tp_subst_name,type,
subst_name: name > name > name > name ).
thf(tp_sum,type,
sum: pi > pi > pi ).
thf(tp_sup_sup_set_name,type,
sup_sup_set_name: set_name > set_name > set_name ).
thf(tp_supp_L1144036959t_name,type,
supp_L1144036959t_name: ( late_subject > name > pi > late_subject ) > set_name ).
thf(tp_supp_L1174042202l_name,type,
supp_L1174042202l_name: late_residual > set_name ).
thf(tp_supp_L1174290467t_name,type,
supp_L1174290467t_name: late_subject > set_name ).
thf(tp_supp_L1178477943s_name,type,
supp_L1178477943s_name: ( late_subject > name > pi > late_freeRes ) > set_name ).
thf(tp_supp_L1228270395s_name,type,
supp_L1228270395s_name: late_freeRes > set_name ).
thf(tp_supp_L1759672260t_name,type,
supp_L1759672260t_name: ( late_freeRes > pi > late_subject ) > set_name ).
thf(tp_supp_L2052723895i_name,type,
supp_L2052723895i_name: ( late_freeRes > pi > pi ) > set_name ).
thf(tp_supp_L3230824i_name,type,
supp_L3230824i_name: ( late_subject > name > pi > name > noption_pi ) > set_name ).
thf(tp_supp_L381160156s_name,type,
supp_L381160156s_name: ( late_freeRes > pi > late_freeRes ) > set_name ).
thf(tp_supp_L538372628e_name,type,
supp_L538372628e_name: ( late_subject > name > pi > name ) > set_name ).
thf(tp_supp_L635439693i_name,type,
supp_L635439693i_name: ( late_freeRes > pi > name > noption_pi ) > set_name ).
thf(tp_supp_L729745222i_name,type,
supp_L729745222i_name: ( late_subject > name > pi > pi ) > set_name ).
thf(tp_supp_L926407557e_name,type,
supp_L926407557e_name: ( late_freeRes > pi > name ) > set_name ).
thf(tp_supp_n1003758744i_name,type,
supp_n1003758744i_name: ( name > noptio354675977ion_pi ) > set_name ).
thf(tp_supp_n116460699e_name,type,
supp_n116460699e_name: ( name > pi > name > name ) > set_name ).
thf(tp_supp_n122125407t_name,type,
supp_n122125407t_name: ( name > pi > late_subject > late_subject ) > set_name ).
thf(tp_supp_n1410452111s_name,type,
supp_n1410452111s_name: ( name > pi > late_freeRes > late_freeRes ) > set_name ).
thf(tp_supp_n1630792207t_name,type,
supp_n1630792207t_name: ( name > noption_Late_subject ) > set_name ).
thf(tp_supp_n1977765016i_name,type,
supp_n1977765016i_name: ( name > name > pi > pi > pi ) > set_name ).
thf(tp_supp_n1987783534i_name,type,
supp_n1987783534i_name: ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > set_name ).
thf(tp_supp_n200783964t_name,type,
supp_n200783964t_name: ( name > name > pi > late_subject > late_subject ) > set_name ).
thf(tp_supp_n252280103s_name,type,
supp_n252280103s_name: ( name > noption_Late_freeRes ) > set_name ).
thf(tp_supp_n337505932s_name,type,
supp_n337505932s_name: ( name > name > pi > late_freeRes > late_freeRes ) > set_name ).
thf(tp_supp_n352473082e_name,type,
supp_n352473082e_name: ( name > noption_name ) > set_name ).
thf(tp_supp_n468628396i_name,type,
supp_n468628396i_name: ( name > noption_pi ) > set_name ).
thf(tp_supp_n52582513i_name,type,
supp_n52582513i_name: ( name > pi > ( name > noption_pi ) > name > noption_pi ) > set_name ).
thf(tp_supp_n612431512e_name,type,
supp_n612431512e_name: ( name > name > pi > name > name ) > set_name ).
thf(tp_supp_n96533147i_name,type,
supp_n96533147i_name: ( name > pi > pi > pi ) > set_name ).
thf(tp_supp_name_name,type,
supp_name_name: name > set_name ).
thf(tp_supp_p1221108749t_name,type,
supp_p1221108749t_name: ( pi > pi > late_subject > late_subject > late_subject ) > set_name ).
thf(tp_supp_p1239856366e_name,type,
supp_p1239856366e_name: ( pi > name > name ) > set_name ).
thf(tp_supp_p1320058820i_name,type,
supp_p1320058820i_name: ( pi > ( name > noption_pi ) > name > noption_pi ) > set_name ).
thf(tp_supp_p1358344533s_name,type,
supp_p1358344533s_name: ( pi > pi > late_freeRes > late_freeRes > late_freeRes ) > set_name ).
thf(tp_supp_p1592910632i_name,type,
supp_p1592910632i_name: ( pi > pi > ( name > noption_pi ) > ( name > noption_pi ) > name > noption_pi ) > set_name ).
thf(tp_supp_p1618090470e_name,type,
supp_p1618090470e_name: ( pi > pi > name > name > name ) > set_name ).
thf(tp_supp_p71246050s_name,type,
supp_p71246050s_name: ( pi > late_freeRes > late_freeRes ) > set_name ).
thf(tp_supp_p742701746t_name,type,
supp_p742701746t_name: ( pi > late_subject > late_subject ) > set_name ).
thf(tp_supp_p812767768i_name,type,
supp_p812767768i_name: ( pi > pi > pi > pi > pi ) > set_name ).
thf(tp_supp_pi_name,type,
supp_pi_name: pi > set_name ).
thf(tp_supp_pi_pi_pi_name,type,
supp_pi_pi_pi_name: ( pi > pi > pi ) > set_name ).
thf(tp_suppor1289515356ion_pi,type,
suppor1289515356ion_pi: set_name > ( name > noption_pi ) > $o ).
thf(tp_suppor1556658829reeRes,type,
suppor1556658829reeRes: set_name > late_freeRes > $o ).
thf(tp_suppor632428453ubject,type,
suppor632428453ubject: set_name > late_subject > $o ).
thf(tp_supports_name_name,type,
supports_name_name: set_name > name > $o ).
thf(tp_supports_name_pi,type,
supports_name_pi: set_name > pi > $o ).
thf(tp_tau,type,
tau: pi > pi ).
thf(tp_x,type,
x: name ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Agent__Oname_T) ).
thf(124,axiom,
! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( bang @ P ) @ Rs )
=> ~ ! [P3: pi] :
( ( ( bang @ P )
= ( bang @ P3 ) )
=> ~ ( late_transitions @ ( par @ P3 @ ( bang @ P3 ) ) @ Rs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_228_bangCases) ).
thf(125,axiom,
! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( par @ P @ ( bang @ P ) ) @ Rs )
=> ( late_transitions @ ( bang @ P ) @ Rs ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_227_Bang) ).
thf(135,axiom,
! [Pi12: pi,Pi23: pi,Pi3: pi] :
( ( par @ Pi12 @ Pi23 )
!= ( bang @ Pi3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_217_pi_Odistinct_I87_J) ).
thf(143,axiom,
! [Pi1: pi,Pi22: pi] :
( piNil
!= ( par @ Pi1 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_209_pi_Odistinct_I13_J) ).
thf(144,axiom,
! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_208_zeroTrans) ).
thf(145,axiom,
! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_207_nilCases_H) ).
thf(150,axiom,
! [Pi12: pi,Pi23: pi,Pi1: pi,Pi22: pi] :
( ( sum @ Pi12 @ Pi23 )
!= ( par @ Pi1 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_202_pi_Odistinct_I79_J) ).
thf(152,axiom,
! [Q: pi,Rs: late_residual,P: pi] :
( ( late_transitions @ Q @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_200_Sum2) ).
thf(153,axiom,
! [P: pi,Rs: late_residual,Q: pi] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_199_Sum1) ).
thf(154,axiom,
! [P: pi,Q: pi,Rs: late_residual] :
( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
=> ( ~ ( late_transitions @ P @ Rs )
=> ( late_transitions @ Q @ Rs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_198_sumCases_H) ).
thf(155,axiom,
! [P: pi,Q: pi,Rs: late_residual] :
( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
=> ( ~ ( late_transitions @ P @ Rs )
=> ( late_transitions @ Q @ Rs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_197_sumCases) ).
thf(158,axiom,
! [C: name,D: name] :
( ( subs @ piNil @ C @ D )
= piNil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194_simps_I1_J) ).
thf(159,axiom,
! [P: pi,Q: pi,C: name,D: name] :
( ( subs @ ( sum @ P @ Q ) @ C @ D )
= ( sum @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_simps_I7_J) ).
thf(161,axiom,
! [P: pi,C: name,D: name] :
( ( subs @ ( bang @ P ) @ C @ D )
= ( bang @ ( subs @ P @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_191_simps_I10_J) ).
thf(188,axiom,
! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
( ( match @ Name12 @ Name23 @ Pi2 )
!= ( par @ Pi1 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_164_pi_Odistinct_I65_J) ).
thf(189,axiom,
! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
( ( mismatch @ Name12 @ Name23 @ Pi2 )
!= ( par @ Pi1 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_163_pi_Odistinct_I73_J) ).
thf(190,axiom,
! [P: pi,Rs: late_residual,A: name,B: name] :
( ( late_transitions @ P @ Rs )
=> ( ( A != B )
=> ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_162_Mismatch) ).
thf(191,axiom,
! [P: pi,Rs: late_residual,B: name] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( match @ B @ B @ P ) @ Rs ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_161_Match) ).
thf(192,axiom,
! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ~ ! [P3: pi,A3: name,B2: name] :
( ( ( A = A3 )
& ( B = B2 )
& ( P = P3 ) )
=> ( ( late_transitions @ P3 @ Rs )
=> ( A3 = B2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_160_mismatchCases_H) ).
thf(193,axiom,
! [A: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( mismatch @ A @ A @ P ) @ Rs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_159_mismatchTrans) ).
thf(194,axiom,
! [A: name,B: name,P: pi,Rs: late_residual,F: name > name > $o] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ( ( ( late_transitions @ P @ Rs )
=> ( ( A != B )
=> ( F @ A @ B ) ) )
=> ( F @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_mismatchCases) ).
thf(195,axiom,
! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ~ ! [P3: pi] :
( ( ( B = A )
& ( P = P3 ) )
=> ~ ( late_transitions @ P3 @ Rs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_157_matchCases_H) ).
thf(196,axiom,
! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_156_matchTrans) ).
thf(197,axiom,
! [A: name,B: name,P: pi,Rs: late_residual,F: name > name > $o] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ( ( ( late_transitions @ P @ Rs )
=> ( ( A = B )
=> ( F @ A @ A ) ) )
=> ( F @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_155_matchCases) ).
thf(231,axiom,
! [A: name,X: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_121_inputFreeTrans) ).
thf(236,axiom,
! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
( ( output @ Name12 @ Name23 @ Pi2 )
!= ( par @ Pi1 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_116_pi_Odistinct_I29_J) ).
thf(238,axiom,
! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
( ( input @ Name12 @ Name23 @ Pi2 )
!= ( par @ Pi1 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_pi_Odistinct_I55_J) ).
thf(245,axiom,
! [A: name,B: name,P: pi,P2: pi] :
~ ( late_transitions @ ( output @ A @ B @ P ) @ ( late_FreeR @ late_TauR @ P2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_outputTauTrans) ).
thf(269,axiom,
! [Pi12: pi,Pi23: pi,Name3: name,Pi3: pi] :
( ( par @ Pi12 @ Pi23 )
!= ( res @ Name3 @ Pi3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_pi_Odistinct_I85_J) ).
thf(278,axiom,
! [X: name,C: name,D: name,P: pi] :
( ( X != C )
=> ( ( X != D )
=> ( ( subs @ ( res @ X @ P ) @ C @ D )
= ( res @ X @ ( subs @ P @ C @ D ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_simps_I9_J) ).
thf(280,axiom,
! [A: name] : ( fresh_1641682979reeRes @ A @ late_TauR ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_freeRes_Ofresh_I2_J) ).
thf(287,axiom,
! [X11: name,X12: name] :
( ( late_OutputR @ X11 @ X12 )
!= late_TauR ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_Late__Semantics1_OfreeRes_Odistinct_I1_J) ).
thf(288,axiom,
! [Y: late_freeRes] :
( ! [X112: name,X122: name] :
( Y
!= ( late_OutputR @ X112 @ X122 ) )
=> ( Y = late_TauR ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_freeRes_Oexhaust) ).
thf(291,axiom,
! [P: pi] : ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ late_TauR @ P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_Tau) ).
thf(294,axiom,
! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_name_pi @ Y @ P )
=> ( fresh_name_pi @ Y @ P2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_freshFreeDerivative_I2_J) ).
thf(301,axiom,
! [Name12: name,Name23: name] :
( ( late_OutputR @ Name12 @ Name23 )
!= late_TauR ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_Late__Semantics_OfreeRes_Odistinct_I1_J) ).
thf(302,axiom,
! [P: late_freeRes > $o,FreeRes3: late_freeRes] :
( ! [Name1: name,Name22: name] : ( P @ ( late_OutputR @ Name1 @ Name22 ) )
=> ( ( P @ late_TauR )
=> ( P @ FreeRes3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_freeRes_Oinducts) ).
thf(303,axiom,
! [Pi2: pi,Pi1: pi,Pi22: pi] :
( ( tau @ Pi2 )
!= ( par @ Pi1 @ Pi22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_pi_Odistinct_I43_J) ).
thf(307,axiom,
! [A: name,P: pi,B: name] :
( ( fresh_name_pi @ A @ P )
=> ( ( subs @ P @ A @ B )
= P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_forget) ).
thf(308,axiom,
! [A: name,P: pi,C: name,B: name] :
( ( fresh_name_pi @ A @ P )
=> ( ( A != C )
=> ( fresh_name_pi @ A @ ( subs @ P @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_fresh__fact1) ).
thf(309,axiom,
! [A: name,B: name,P: pi] :
( ( A != B )
=> ( fresh_name_pi @ A @ ( subs @ P @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_fresh__fact2) ).
thf(310,axiom,
! [Subject2: late_subject,Name2: name,Pi2: pi,FreeRes2: late_freeRes,Pi3: pi] :
( ( late_BoundR @ Subject2 @ Name2 @ Pi2 )
!= ( late_FreeR @ FreeRes2 @ Pi3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_residual_Odistinct_I1_J) ).
thf(311,axiom,
! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject: late_subject,Name: name,Pi: pi] : ( P @ ( late_BoundR @ Subject @ Name @ Pi ) )
=> ( ! [FreeRes: late_freeRes,Pi: pi] : ( P @ ( late_FreeR @ FreeRes @ Pi ) )
=> ( P @ Residual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_residual_Oinducts) ).
thf(327,axiom,
! [P: pi,C: name,D: name] :
( ( subs @ ( tau @ P ) @ C @ D )
= ( tau @ ( subs @ P @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_simps_I2_J) ).
thf(329,axiom,
! [B: name,P: pi,A: name,C: name] :
( ( fresh_name_pi @ B @ P )
=> ( ( subs @ ( subs @ P @ A @ B ) @ B @ C )
= ( subs @ P @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_substTrans) ).
thf(330,axiom,
! [A: name,X2: pi,X1: pi] :
( ( fresh_name_pi @ A @ ( par @ X2 @ X1 ) )
= ( ( fresh_name_pi @ A @ X2 )
& ( fresh_name_pi @ A @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_pi_Ofresh_I8_J) ).
thf(332,axiom,
! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( tau @ P ) @ Rs )
=> ~ ! [P3: pi] :
( ( ( tau @ P )
= ( tau @ P3 ) )
=> ( Rs
!= ( late_FreeR @ late_TauR @ P3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_tauCases_H) ).
thf(333,axiom,
! [P: pi,Alpha: late_freeRes,P2: pi,Prop: late_freeRes > pi > $o] :
( ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( ( Alpha = late_TauR )
=> ( ( P = P2 )
=> ( Prop @ late_TauR @ P ) ) )
=> ( Prop @ Alpha @ P2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_tauCases) ).
thf(334,axiom,
! [X2: pi,X1: pi,Y2: pi,Y1: pi] :
( ( ( par @ X2 @ X1 )
= ( par @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_pi_Oinject_I7_J) ).
thf(335,axiom,
! [X2: late_freeRes,X1: pi,Y2: late_freeRes,Y1: pi] :
( ( ( late_FreeR @ X2 @ X1 )
= ( late_FreeR @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_residual_Oinject_I2_J) ).
thf(338,axiom,
! [P: pi,A: name] :
( ( subs @ P @ A @ A )
= P ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_subst__identity) ).
thf(339,axiom,
fresh_name_pi @ x @ r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13__092_060open_062x_A_092_060sharp_062_AR_092_060close_062) ).
thf(340,axiom,
! [Q: pi,Alpha: late_freeRes,Q2: pi,P: pi] :
( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_Par2F) ).
thf(341,axiom,
! [P: pi,Alpha: late_freeRes,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P2 @ Q ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_Par1F) ).
thf(342,axiom,
! [P: pi,Q: pi,C: name,D: name] :
( ( subs @ ( par @ P @ Q ) @ C @ D )
= ( par @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_simps_I8_J) ).
thf(344,axiom,
fresh_name_pi @ x @ ( par @ q @ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_cComm2_Ohyps_I4_J) ).
thf(345,axiom,
fresh_name_pi @ x @ p2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_cComm2_Ohyps_I7_J) ).
thf(346,axiom,
fresh_name_pi @ x @ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_cComm2_Ohyps_I3_J) ).
thf(347,axiom,
fresh_name_pi @ x @ q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_cComm2_Ohyps_I8_J) ).
thf(349,axiom,
late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ late_TauR @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_A_092_060tau_062_A_092_060prec_062_AP_H_A_092_060parallel_062_AQ_H_091x_058_058_061b_093_092_060close_062) ).
thf(350,axiom,
x != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_cComm2_Ohyps_I6_J) ).
thf(351,axiom,
x != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_cComm2_Ohyps_I5_J) ).
thf(352,axiom,
alpha = late_TauR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_cComm2_Ohyps_I9_J) ).
thf(353,conjecture,
late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) @ r ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(354,negated_conjecture,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) @ r ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[353]) ).
thf(355,plain,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) @ r ) ) )
= $false ),
inference(unfold_def,[status(thm)],[354]) ).
thf(356,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(357,plain,
( ( ! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( bang @ P ) @ Rs )
=> ~ ! [P3: pi] :
( ( ( bang @ P )
= ( bang @ P3 ) )
=> ~ ( late_transitions @ ( par @ P3 @ ( bang @ P3 ) ) @ Rs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(358,plain,
( ( ! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( par @ P @ ( bang @ P ) ) @ Rs )
=> ( late_transitions @ ( bang @ P ) @ Rs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(359,plain,
( ( ! [Pi12: pi,Pi23: pi,Pi3: pi] :
( ( par @ Pi12 @ Pi23 )
!= ( bang @ Pi3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(360,plain,
( ( ! [Pi1: pi,Pi22: pi] :
( piNil
!= ( par @ Pi1 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(361,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(362,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(363,plain,
( ( ! [Pi12: pi,Pi23: pi,Pi1: pi,Pi22: pi] :
( ( sum @ Pi12 @ Pi23 )
!= ( par @ Pi1 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(364,plain,
( ( ! [Q: pi,Rs: late_residual,P: pi] :
( ( late_transitions @ Q @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(365,plain,
( ( ! [P: pi,Rs: late_residual,Q: pi] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(366,plain,
( ( ! [P: pi,Q: pi,Rs: late_residual] :
( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
=> ( ~ ( late_transitions @ P @ Rs )
=> ( late_transitions @ Q @ Rs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(367,plain,
( ( ! [P: pi,Q: pi,Rs: late_residual] :
( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
=> ( ~ ( late_transitions @ P @ Rs )
=> ( late_transitions @ Q @ Rs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(368,plain,
( ( ! [C: name,D: name] :
( ( subs @ piNil @ C @ D )
= piNil ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(369,plain,
( ( ! [P: pi,Q: pi,C: name,D: name] :
( ( subs @ ( sum @ P @ Q ) @ C @ D )
= ( sum @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(370,plain,
( ( ! [P: pi,C: name,D: name] :
( ( subs @ ( bang @ P ) @ C @ D )
= ( bang @ ( subs @ P @ C @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(371,plain,
( ( ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
( ( match @ Name12 @ Name23 @ Pi2 )
!= ( par @ Pi1 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(372,plain,
( ( ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
( ( mismatch @ Name12 @ Name23 @ Pi2 )
!= ( par @ Pi1 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(373,plain,
( ( ! [P: pi,Rs: late_residual,A: name,B: name] :
( ( late_transitions @ P @ Rs )
=> ( ( A != B )
=> ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(374,plain,
( ( ! [P: pi,Rs: late_residual,B: name] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( match @ B @ B @ P ) @ Rs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(375,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ~ ! [P3: pi,A3: name,B2: name] :
( ( ( A = A3 )
& ( B = B2 )
& ( P = P3 ) )
=> ( ( late_transitions @ P3 @ Rs )
=> ( A3 = B2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(376,plain,
( ( ! [A: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( mismatch @ A @ A @ P ) @ Rs ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(377,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual,F: name > name > $o] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ( ( ( late_transitions @ P @ Rs )
=> ( ( A != B )
=> ( F @ A @ B ) ) )
=> ( F @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(378,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ~ ! [P3: pi] :
( ( ( B = A )
& ( P = P3 ) )
=> ~ ( late_transitions @ P3 @ Rs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(379,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(380,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual,F: name > name > $o] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ( ( ( late_transitions @ P @ Rs )
=> ( ( A = B )
=> ( F @ A @ A ) ) )
=> ( F @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(381,plain,
( ( ! [A: name,X: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[231]) ).
thf(382,plain,
( ( ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
( ( output @ Name12 @ Name23 @ Pi2 )
!= ( par @ Pi1 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[236]) ).
thf(383,plain,
( ( ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
( ( input @ Name12 @ Name23 @ Pi2 )
!= ( par @ Pi1 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(384,plain,
( ( ! [A: name,B: name,P: pi,P2: pi] :
~ ( late_transitions @ ( output @ A @ B @ P ) @ ( late_FreeR @ late_TauR @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(385,plain,
( ( ! [Pi12: pi,Pi23: pi,Name3: name,Pi3: pi] :
( ( par @ Pi12 @ Pi23 )
!= ( res @ Name3 @ Pi3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(386,plain,
( ( ! [X: name,C: name,D: name,P: pi] :
( ( X != C )
=> ( ( X != D )
=> ( ( subs @ ( res @ X @ P ) @ C @ D )
= ( res @ X @ ( subs @ P @ C @ D ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(387,plain,
( ( ! [A: name] : ( fresh_1641682979reeRes @ A @ late_TauR ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(388,plain,
( ( ! [X11: name,X12: name] :
( ( late_OutputR @ X11 @ X12 )
!= late_TauR ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(389,plain,
( ( ! [Y: late_freeRes] :
( ! [X112: name,X122: name] :
( Y
!= ( late_OutputR @ X112 @ X122 ) )
=> ( Y = late_TauR ) ) )
= $true ),
inference(unfold_def,[status(thm)],[288]) ).
thf(390,plain,
( ( ! [P: pi] : ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ late_TauR @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(391,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_name_pi @ Y @ P )
=> ( fresh_name_pi @ Y @ P2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(392,plain,
( ( ! [Name12: name,Name23: name] :
( ( late_OutputR @ Name12 @ Name23 )
!= late_TauR ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(393,plain,
( ( ! [P: late_freeRes > $o,FreeRes3: late_freeRes] :
( ! [Name1: name,Name22: name] : ( P @ ( late_OutputR @ Name1 @ Name22 ) )
=> ( ( P @ late_TauR )
=> ( P @ FreeRes3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(394,plain,
( ( ! [Pi2: pi,Pi1: pi,Pi22: pi] :
( ( tau @ Pi2 )
!= ( par @ Pi1 @ Pi22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(395,plain,
( ( ! [A: name,P: pi,B: name] :
( ( fresh_name_pi @ A @ P )
=> ( ( subs @ P @ A @ B )
= P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(396,plain,
( ( ! [A: name,P: pi,C: name,B: name] :
( ( fresh_name_pi @ A @ P )
=> ( ( A != C )
=> ( fresh_name_pi @ A @ ( subs @ P @ B @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(397,plain,
( ( ! [A: name,B: name,P: pi] :
( ( A != B )
=> ( fresh_name_pi @ A @ ( subs @ P @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(398,plain,
( ( ! [Subject2: late_subject,Name2: name,Pi2: pi,FreeRes2: late_freeRes,Pi3: pi] :
( ( late_BoundR @ Subject2 @ Name2 @ Pi2 )
!= ( late_FreeR @ FreeRes2 @ Pi3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(399,plain,
( ( ! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject: late_subject,Name: name,Pi: pi] : ( P @ ( late_BoundR @ Subject @ Name @ Pi ) )
=> ( ! [FreeRes: late_freeRes,Pi: pi] : ( P @ ( late_FreeR @ FreeRes @ Pi ) )
=> ( P @ Residual ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(400,plain,
( ( ! [P: pi,C: name,D: name] :
( ( subs @ ( tau @ P ) @ C @ D )
= ( tau @ ( subs @ P @ C @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(401,plain,
( ( ! [B: name,P: pi,A: name,C: name] :
( ( fresh_name_pi @ B @ P )
=> ( ( subs @ ( subs @ P @ A @ B ) @ B @ C )
= ( subs @ P @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(402,plain,
( ( ! [A: name,X2: pi,X1: pi] :
( ( fresh_name_pi @ A @ ( par @ X2 @ X1 ) )
= ( ( fresh_name_pi @ A @ X2 )
& ( fresh_name_pi @ A @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(403,plain,
( ( ! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( tau @ P ) @ Rs )
=> ~ ! [P3: pi] :
( ( ( tau @ P )
= ( tau @ P3 ) )
=> ( Rs
!= ( late_FreeR @ late_TauR @ P3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(404,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Prop: late_freeRes > pi > $o] :
( ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( ( Alpha = late_TauR )
=> ( ( P = P2 )
=> ( Prop @ late_TauR @ P ) ) )
=> ( Prop @ Alpha @ P2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(405,plain,
( ( ! [X2: pi,X1: pi,Y2: pi,Y1: pi] :
( ( ( par @ X2 @ X1 )
= ( par @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(406,plain,
( ( ! [X2: late_freeRes,X1: pi,Y2: late_freeRes,Y1: pi] :
( ( ( late_FreeR @ X2 @ X1 )
= ( late_FreeR @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(407,plain,
( ( ! [P: pi,A: name] :
( ( subs @ P @ A @ A )
= P ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(408,plain,
( ( fresh_name_pi @ x @ r )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(409,plain,
( ( ! [Q: pi,Alpha: late_freeRes,Q2: pi,P: pi] :
( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(410,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P2 @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(411,plain,
( ( ! [P: pi,Q: pi,C: name,D: name] :
( ( subs @ ( par @ P @ Q ) @ C @ D )
= ( par @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(412,plain,
( ( fresh_name_pi @ x @ ( par @ q @ r ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(413,plain,
( ( fresh_name_pi @ x @ p2 )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(414,plain,
( ( fresh_name_pi @ x @ p )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(415,plain,
( ( fresh_name_pi @ x @ q )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(416,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ late_TauR @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(417,plain,
( ( x != b )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(418,plain,
( ( x != a )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(419,plain,
( ( alpha = late_TauR )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(420,plain,
( ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) @ r ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[355]) ).
thf(421,plain,
( ( alpha = late_TauR )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(422,plain,
( ( x != a )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(423,plain,
( ( x != b )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(424,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ late_TauR @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(425,plain,
( ( fresh_name_pi @ x @ q )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(426,plain,
( ( fresh_name_pi @ x @ p )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(427,plain,
( ( fresh_name_pi @ x @ p2 )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(428,plain,
( ( fresh_name_pi @ x @ ( par @ q @ r ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(429,plain,
( ( ! [P: pi,Q: pi,C: name,D: name] :
( ( subs @ ( par @ P @ Q ) @ C @ D )
= ( par @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(430,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P2 @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(431,plain,
( ( ! [Q: pi,Alpha: late_freeRes,Q2: pi,P: pi] :
( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(432,plain,
( ( fresh_name_pi @ x @ r )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(433,plain,
( ( ! [P: pi,A: name] :
( ( subs @ P @ A @ A )
= P ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(434,plain,
( ( ! [X2: late_freeRes,X1: pi,Y2: late_freeRes,Y1: pi] :
( ( ( late_FreeR @ X2 @ X1 )
= ( late_FreeR @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(435,plain,
( ( ! [X2: pi,X1: pi,Y2: pi,Y1: pi] :
( ( ( par @ X2 @ X1 )
= ( par @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(436,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Prop: late_freeRes > pi > $o] :
( ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( ( Alpha = late_TauR )
=> ( ( P = P2 )
=> ( Prop @ late_TauR @ P ) ) )
=> ( Prop @ Alpha @ P2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(437,plain,
( ( ! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( tau @ P ) @ Rs )
=> ~ ! [P3: pi] :
( ( ( tau @ P )
= ( tau @ P3 ) )
=> ( Rs
!= ( late_FreeR @ late_TauR @ P3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(438,plain,
( ( ! [A: name,X2: pi,X1: pi] :
( ( fresh_name_pi @ A @ ( par @ X2 @ X1 ) )
= ( ( fresh_name_pi @ A @ X2 )
& ( fresh_name_pi @ A @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(439,plain,
( ( ! [B: name,P: pi,A: name,C: name] :
( ( fresh_name_pi @ B @ P )
=> ( ( subs @ ( subs @ P @ A @ B ) @ B @ C )
= ( subs @ P @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(440,plain,
( ( ! [P: pi,C: name,D: name] :
( ( subs @ ( tau @ P ) @ C @ D )
= ( tau @ ( subs @ P @ C @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(441,plain,
( ( ! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject: late_subject,Name: name,Pi: pi] : ( P @ ( late_BoundR @ Subject @ Name @ Pi ) )
=> ( ! [FreeRes: late_freeRes,Pi: pi] : ( P @ ( late_FreeR @ FreeRes @ Pi ) )
=> ( P @ Residual ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(442,plain,
( ( ! [Subject2: late_subject,Name2: name,Pi2: pi,FreeRes2: late_freeRes,Pi3: pi] :
( ( late_BoundR @ Subject2 @ Name2 @ Pi2 )
!= ( late_FreeR @ FreeRes2 @ Pi3 ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(443,plain,
( ( ! [A: name,B: name,P: pi] :
( ( A != B )
=> ( fresh_name_pi @ A @ ( subs @ P @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(444,plain,
( ( ! [A: name,P: pi,C: name,B: name] :
( ( fresh_name_pi @ A @ P )
=> ( ( A != C )
=> ( fresh_name_pi @ A @ ( subs @ P @ B @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(445,plain,
( ( ! [A: name,P: pi,B: name] :
( ( fresh_name_pi @ A @ P )
=> ( ( subs @ P @ A @ B )
= P ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(446,plain,
( ( ! [Pi2: pi,Pi1: pi,Pi22: pi] :
( ( tau @ Pi2 )
!= ( par @ Pi1 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(447,plain,
( ( ! [P: late_freeRes > $o,FreeRes3: late_freeRes] :
( ! [Name1: name,Name22: name] : ( P @ ( late_OutputR @ Name1 @ Name22 ) )
=> ( ( P @ late_TauR )
=> ( P @ FreeRes3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(448,plain,
( ( ! [Name12: name,Name23: name] :
( ( late_OutputR @ Name12 @ Name23 )
!= late_TauR ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(449,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_name_pi @ Y @ P )
=> ( fresh_name_pi @ Y @ P2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(450,plain,
( ( ! [P: pi] : ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ late_TauR @ P ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(451,plain,
( ( ! [Y: late_freeRes] :
( ! [X112: name,X122: name] :
( Y
!= ( late_OutputR @ X112 @ X122 ) )
=> ( Y = late_TauR ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(452,plain,
( ( ! [X11: name,X12: name] :
( ( late_OutputR @ X11 @ X12 )
!= late_TauR ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(453,plain,
( ( ! [A: name] : ( fresh_1641682979reeRes @ A @ late_TauR ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(454,plain,
( ( ! [X: name,C: name,D: name,P: pi] :
( ( X != C )
=> ( ( X != D )
=> ( ( subs @ ( res @ X @ P ) @ C @ D )
= ( res @ X @ ( subs @ P @ C @ D ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(455,plain,
( ( ! [Pi12: pi,Pi23: pi,Name3: name,Pi3: pi] :
( ( par @ Pi12 @ Pi23 )
!= ( res @ Name3 @ Pi3 ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(456,plain,
( ( ! [A: name,B: name,P: pi,P2: pi] :
~ ( late_transitions @ ( output @ A @ B @ P ) @ ( late_FreeR @ late_TauR @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(457,plain,
( ( ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
( ( input @ Name12 @ Name23 @ Pi2 )
!= ( par @ Pi1 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(458,plain,
( ( ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
( ( output @ Name12 @ Name23 @ Pi2 )
!= ( par @ Pi1 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(459,plain,
( ( ! [A: name,X: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(460,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual,F: name > name > $o] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ( ( ( late_transitions @ P @ Rs )
=> ( ( A = B )
=> ( F @ A @ A ) ) )
=> ( F @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(461,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(462,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
=> ~ ! [P3: pi] :
( ( ( B = A )
& ( P = P3 ) )
=> ~ ( late_transitions @ P3 @ Rs ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(463,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual,F: name > name > $o] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ( ( ( late_transitions @ P @ Rs )
=> ( ( A != B )
=> ( F @ A @ B ) ) )
=> ( F @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(464,plain,
( ( ! [A: name,P: pi,Rs: late_residual] :
~ ( late_transitions @ ( mismatch @ A @ A @ P ) @ Rs ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(465,plain,
( ( ! [A: name,B: name,P: pi,Rs: late_residual] :
( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
=> ~ ! [P3: pi,A3: name,B2: name] :
( ( ( A = A3 )
& ( B = B2 )
& ( P = P3 ) )
=> ( ( late_transitions @ P3 @ Rs )
=> ( A3 = B2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(466,plain,
( ( ! [P: pi,Rs: late_residual,B: name] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( match @ B @ B @ P ) @ Rs ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(467,plain,
( ( ! [P: pi,Rs: late_residual,A: name,B: name] :
( ( late_transitions @ P @ Rs )
=> ( ( A != B )
=> ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(468,plain,
( ( ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
( ( mismatch @ Name12 @ Name23 @ Pi2 )
!= ( par @ Pi1 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(469,plain,
( ( ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
( ( match @ Name12 @ Name23 @ Pi2 )
!= ( par @ Pi1 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(470,plain,
( ( ! [P: pi,C: name,D: name] :
( ( subs @ ( bang @ P ) @ C @ D )
= ( bang @ ( subs @ P @ C @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(471,plain,
( ( ! [P: pi,Q: pi,C: name,D: name] :
( ( subs @ ( sum @ P @ Q ) @ C @ D )
= ( sum @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(472,plain,
( ( ! [C: name,D: name] :
( ( subs @ piNil @ C @ D )
= piNil ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(473,plain,
( ( ! [P: pi,Q: pi,Rs: late_residual] :
( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
=> ( ~ ( late_transitions @ P @ Rs )
=> ( late_transitions @ Q @ Rs ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(474,plain,
( ( ! [P: pi,Q: pi,Rs: late_residual] :
( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
=> ( ~ ( late_transitions @ P @ Rs )
=> ( late_transitions @ Q @ Rs ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(475,plain,
( ( ! [P: pi,Rs: late_residual,Q: pi] :
( ( late_transitions @ P @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(476,plain,
( ( ! [Q: pi,Rs: late_residual,P: pi] :
( ( late_transitions @ Q @ Rs )
=> ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(477,plain,
( ( ! [Pi12: pi,Pi23: pi,Pi1: pi,Pi22: pi] :
( ( sum @ Pi12 @ Pi23 )
!= ( par @ Pi1 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(478,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(479,plain,
( ( ! [Rs: late_residual] :
~ ( late_transitions @ piNil @ Rs ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(480,plain,
( ( ! [Pi1: pi,Pi22: pi] :
( piNil
!= ( par @ Pi1 @ Pi22 ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(481,plain,
( ( ! [Pi12: pi,Pi23: pi,Pi3: pi] :
( ( par @ Pi12 @ Pi23 )
!= ( bang @ Pi3 ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(482,plain,
( ( ! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( par @ P @ ( bang @ P ) ) @ Rs )
=> ( late_transitions @ ( bang @ P ) @ Rs ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(483,plain,
( ( ! [P: pi,Rs: late_residual] :
( ( late_transitions @ ( bang @ P ) @ Rs )
=> ~ ! [P3: pi] :
( ( ( bang @ P )
= ( bang @ P3 ) )
=> ~ ( late_transitions @ ( par @ P3 @ ( bang @ P3 ) ) @ Rs ) ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(484,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(485,plain,
( ( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) @ r ) ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(486,plain,
( ( ! [SX0: late_freeRes] :
( ~ ! [SX1: name,SX2: name] :
( SX0
!= ( late_OutputR @ SX1 @ SX2 ) )
| ( SX0 = late_TauR ) ) )
= $true ),
inference(unfold_def,[status(thm)],[451]) ).
thf(487,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( match @ SX0 @ SX1 @ SX2 )
!= ( par @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[469]) ).
thf(488,plain,
( ( ! [SX0: pi,SX1: pi,SX2: name,SX3: pi] :
( ( par @ SX0 @ SX1 )
!= ( res @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[455]) ).
thf(489,plain,
( ( ! [SX0: late_subject,SX1: name,SX2: pi,SX3: late_freeRes,SX4: pi] :
( ( late_BoundR @ SX0 @ SX1 @ SX2 )
!= ( late_FreeR @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[442]) ).
thf(490,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: late_residual] :
( ~ ( late_transitions @ ( match @ SX0 @ SX1 @ SX2 ) @ SX3 )
| ~ ! [SX4: pi] :
( ~ ~ ( ( SX1 != SX0 )
| ( SX2 != SX4 ) )
| ~ ( late_transitions @ SX4 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(491,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( mismatch @ SX0 @ SX1 @ SX2 )
!= ( par @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(492,plain,
( ( ! [SX0: pi,SX1: late_residual,SX2: name,SX3: name] :
( ~ ( late_transitions @ SX0 @ SX1 )
| ~ ( ( SX2 != SX3 ) )
| ( late_transitions @ ( mismatch @ SX2 @ SX3 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[467]) ).
thf(493,plain,
( ( ! [SX0: name,SX1: pi,SX2: pi] :
( ( fresh_name_pi @ SX0 @ ( par @ SX1 @ SX2 ) )
= ( ~ ( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ~ ( fresh_name_pi @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(494,plain,
( ( ! [SX0: pi,SX1: late_residual,SX2: name] :
( ~ ( late_transitions @ SX0 @ SX1 )
| ( late_transitions @ ( match @ SX2 @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(495,plain,
( ( ! [SX0: name,SX1: pi,SX2: name] :
( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ( ( subs @ SX1 @ SX0 @ SX2 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(496,plain,
( ( ! [SX0: pi,SX1: pi,SX2: late_residual] :
( ~ ( late_transitions @ ( sum @ SX0 @ SX1 ) @ SX2 )
| ~ ~ ( late_transitions @ SX0 @ SX2 )
| ( late_transitions @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[473]) ).
thf(497,plain,
( ( ! [SX0: name,SX1: name,SX2: pi] :
( ~ ( ( SX0 != SX1 ) )
| ( fresh_name_pi @ SX0 @ ( subs @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(498,plain,
( ( x != a )
= $true ),
inference(unfold_def,[status(thm)],[422]) ).
thf(499,plain,
( ( ! [SX0: pi,SX1: late_freeRes,SX2: pi,SX3: late_freeRes > pi > $o] :
( ~ ( late_transitions @ ( tau @ SX0 ) @ ( late_FreeR @ SX1 @ SX2 ) )
| ~ ( ( SX1 != late_TauR )
| ( SX0 != SX2 )
| ( SX3 @ late_TauR @ SX0 ) )
| ( SX3 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[436]) ).
thf(500,plain,
( ( x != b )
= $true ),
inference(unfold_def,[status(thm)],[423]) ).
thf(501,plain,
( ( ! [SX0: name,SX1: name,SX2: name,SX3: pi] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( ( SX0 != SX2 ) )
| ( ( subs @ ( res @ SX0 @ SX3 ) @ SX1 @ SX2 )
= ( res @ SX0 @ ( subs @ SX3 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[454]) ).
thf(502,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: late_residual,SX4: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SX0 @ SX1 @ SX2 ) @ SX3 )
| ~ ( ~ ( late_transitions @ SX2 @ SX3 )
| ~ ( ( SX0 != SX1 ) )
| ( SX4 @ SX0 @ SX1 ) )
| ( SX4 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(503,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi,SX3: pi] :
( ( ( par @ SX0 @ SX1 )
= ( par @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[435]) ).
thf(504,plain,
( ( ! [SX0: name,SX1: name] :
( ( late_OutputR @ SX0 @ SX1 )
!= late_TauR ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(505,plain,
( ( ! [SX0: pi,SX1: pi,SX2: late_residual] :
( ~ ( late_transitions @ ( sum @ SX0 @ SX1 ) @ SX2 )
| ~ ~ ( late_transitions @ SX0 @ SX2 )
| ( late_transitions @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[474]) ).
thf(506,plain,
( ( ! [SX0: pi,SX1: late_residual,SX2: pi] :
( ~ ( late_transitions @ SX0 @ SX1 )
| ( late_transitions @ ( sum @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(507,plain,
( ( ! [SX0: pi,SX1: late_freeRes,SX2: pi,SX3: pi] :
( ~ ( late_transitions @ SX0 @ ( late_FreeR @ SX1 @ SX2 ) )
| ( late_transitions @ ( par @ SX3 @ SX0 ) @ ( late_FreeR @ SX1 @ ( par @ SX3 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[431]) ).
thf(508,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi] :
( ( par @ SX0 @ SX1 )
!= ( bang @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[481]) ).
thf(509,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi,SX3: pi] :
( ( sum @ SX0 @ SX1 )
!= ( par @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[477]) ).
thf(510,plain,
( ( ! [SX0: name,SX1: pi,SX2: name,SX3: name] :
( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ~ ( ( SX0 != SX2 ) )
| ( fresh_name_pi @ SX0 @ ( subs @ SX1 @ SX3 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(511,plain,
( ( ! [SX0: name,SX1: name] :
( ( late_OutputR @ SX0 @ SX1 )
!= late_TauR ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(512,plain,
( ( ! [SX0: late_freeRes > $o,SX1: late_freeRes] :
( ~ ! [SX2: name,SX3: name] : ( SX0 @ ( late_OutputR @ SX2 @ SX3 ) )
| ~ ( SX0 @ late_TauR )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(513,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: late_residual] :
( ~ ( late_transitions @ ( match @ SX0 @ SX1 @ SX2 ) @ SX3 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(514,plain,
( ( ! [SX0: pi,SX1: late_residual] :
( ~ ( late_transitions @ ( bang @ SX0 ) @ SX1 )
| ~ ! [SX2: pi] :
( ( ( bang @ SX0 )
!= ( bang @ SX2 ) )
| ~ ( late_transitions @ ( par @ SX2 @ ( bang @ SX2 ) ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[483]) ).
thf(515,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( input @ SX0 @ SX1 @ SX2 )
!= ( par @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(516,plain,
( ( ! [SX0: pi,SX1: late_residual,SX2: pi] :
( ~ ( late_transitions @ SX0 @ SX1 )
| ( late_transitions @ ( sum @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[476]) ).
thf(517,plain,
( ( ! [SX0: pi,SX1: pi,SX2: pi] :
( ( tau @ SX0 )
!= ( par @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(518,plain,
( ( ! [SX0: pi,SX1: late_residual] :
( ~ ( late_transitions @ ( par @ SX0 @ ( bang @ SX0 ) ) @ SX1 )
| ( late_transitions @ ( bang @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[482]) ).
thf(519,plain,
( ( ! [SX0: late_residual > $o,SX1: late_residual] :
( ~ ! [SX2: late_subject,SX3: name,SX4: pi] : ( SX0 @ ( late_BoundR @ SX2 @ SX3 @ SX4 ) )
| ~ ! [SX2: late_freeRes,SX3: pi] : ( SX0 @ ( late_FreeR @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441]) ).
thf(520,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: pi,SX4: pi] :
( ( output @ SX0 @ SX1 @ SX2 )
!= ( par @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(521,plain,
( ( ! [SX0: pi,SX1: pi] :
( piNil
!= ( par @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[480]) ).
thf(522,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: late_residual,SX4: name > name > $o] :
( ~ ( late_transitions @ ( match @ SX0 @ SX1 @ SX2 ) @ SX3 )
| ~ ( ~ ( late_transitions @ SX2 @ SX3 )
| ( SX0 != SX1 )
| ( SX4 @ SX0 @ SX0 ) )
| ( SX4 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[460]) ).
thf(523,plain,
( ( ! [SX0: late_freeRes,SX1: pi,SX2: late_freeRes,SX3: pi] :
( ( ( late_FreeR @ SX0 @ SX1 )
= ( late_FreeR @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[434]) ).
thf(524,plain,
( ( ! [SX0: pi,SX1: late_freeRes,SX2: pi,SX3: pi] :
( ~ ( late_transitions @ SX0 @ ( late_FreeR @ SX1 @ SX2 ) )
| ( late_transitions @ ( par @ SX0 @ SX3 ) @ ( late_FreeR @ SX1 @ ( par @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[430]) ).
thf(525,plain,
( ( ! [SX0: pi,SX1: late_freeRes,SX2: pi,SX3: name] :
( ~ ( late_transitions @ SX0 @ ( late_FreeR @ SX1 @ SX2 ) )
| ~ ( fresh_name_pi @ SX3 @ SX0 )
| ( fresh_name_pi @ SX3 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(526,plain,
( ( ! [SX0: pi,SX1: late_residual] :
( ~ ( late_transitions @ ( tau @ SX0 ) @ SX1 )
| ~ ! [SX2: pi] :
( ( ( tau @ SX0 )
!= ( tau @ SX2 ) )
| ( SX1
!= ( late_FreeR @ late_TauR @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[437]) ).
thf(527,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: late_residual] :
( ~ ( late_transitions @ ( mismatch @ SX0 @ SX1 @ SX2 ) @ SX3 )
| ~ ! [SX4: pi,SX5: name,SX6: name] :
( ~ ~ ( ~ ~ ( ( SX0 != SX5 )
| ( SX1 != SX6 ) )
| ( SX2 != SX4 ) )
| ~ ( late_transitions @ SX4 @ SX3 )
| ( SX5 = SX6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(528,plain,
( ( ! [SX0: name,SX1: pi,SX2: name,SX3: name] :
( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ( ( subs @ ( subs @ SX1 @ SX2 @ SX0 ) @ SX0 @ SX3 )
= ( subs @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[439]) ).
thf(529,plain,
! [SV1: pi] :
( ( ! [SY192: pi,SY193: name,SY194: name] :
( ( subs @ ( par @ SV1 @ SY192 ) @ SY193 @ SY194 )
= ( par @ ( subs @ SV1 @ SY193 @ SY194 ) @ ( subs @ SY192 @ SY193 @ SY194 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(530,plain,
! [SV2: pi] :
( ( ! [SY195: name] :
( ( subs @ SV2 @ SY195 @ SY195 )
= SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(531,plain,
! [SV3: pi] :
( ( ! [SY196: name,SY197: name] :
( ( subs @ ( tau @ SV3 ) @ SY196 @ SY197 )
= ( tau @ ( subs @ SV3 @ SY196 @ SY197 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(532,plain,
! [SV4: pi] :
( ( late_transitions @ ( tau @ SV4 ) @ ( late_FreeR @ late_TauR @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(533,plain,
! [SV5: name] :
( ( fresh_1641682979reeRes @ SV5 @ late_TauR )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(534,plain,
! [SV6: name] :
( ( ! [SY198: name,SY199: pi,SY200: pi] :
~ ( late_transitions @ ( output @ SV6 @ SY198 @ SY199 ) @ ( late_FreeR @ late_TauR @ SY200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(535,plain,
! [SV7: name] :
( ( ! [SY201: name,SY202: pi,SY203: late_freeRes,SY204: pi] :
~ ( late_transitions @ ( input @ SV7 @ SY201 @ SY202 ) @ ( late_FreeR @ SY203 @ SY204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(536,plain,
! [SV8: name] :
( ( ! [SY205: pi,SY206: late_residual] :
~ ( late_transitions @ ( mismatch @ SV8 @ SV8 @ SY205 ) @ SY206 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(537,plain,
! [SV9: pi] :
( ( ! [SY207: name,SY208: name] :
( ( subs @ ( bang @ SV9 ) @ SY207 @ SY208 )
= ( bang @ ( subs @ SV9 @ SY207 @ SY208 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(538,plain,
! [SV10: pi] :
( ( ! [SY209: pi,SY210: name,SY211: name] :
( ( subs @ ( sum @ SV10 @ SY209 ) @ SY210 @ SY211 )
= ( sum @ ( subs @ SV10 @ SY210 @ SY211 ) @ ( subs @ SY209 @ SY210 @ SY211 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(539,plain,
! [SV11: name] :
( ( ! [SY212: name] :
( ( subs @ piNil @ SV11 @ SY212 )
= piNil ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(540,plain,
! [SV12: late_residual] :
( ( ~ ( late_transitions @ piNil @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(541,plain,
! [SV13: late_residual] :
( ( ~ ( late_transitions @ piNil @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(542,plain,
! [SV14: $o] :
( ( ( SV14 = $true )
| ( SV14 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[484]) ).
thf(543,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[484]) ).
thf(544,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[484]) ).
thf(545,plain,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) @ r ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(546,plain,
! [SV15: late_freeRes] :
( ( ~ ! [SY213: name,SY214: name] :
( SV15
!= ( late_OutputR @ SY213 @ SY214 ) )
| ( SV15 = late_TauR ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(547,plain,
! [SV16: name] :
( ( ! [SY215: name,SY216: pi,SY217: pi,SY218: pi] :
( ( match @ SV16 @ SY215 @ SY216 )
!= ( par @ SY217 @ SY218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(548,plain,
! [SV17: pi] :
( ( ! [SY219: pi,SY220: name,SY221: pi] :
( ( par @ SV17 @ SY219 )
!= ( res @ SY220 @ SY221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(549,plain,
! [SV18: late_subject] :
( ( ! [SY222: name,SY223: pi,SY224: late_freeRes,SY225: pi] :
( ( late_BoundR @ SV18 @ SY222 @ SY223 )
!= ( late_FreeR @ SY224 @ SY225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(550,plain,
! [SV19: name] :
( ( ! [SY226: name,SY227: pi,SY228: late_residual] :
( ~ ( late_transitions @ ( match @ SV19 @ SY226 @ SY227 ) @ SY228 )
| ~ ! [SY229: pi] :
( ~ ~ ( ( SY226 != SV19 )
| ( SY227 != SY229 ) )
| ~ ( late_transitions @ SY229 @ SY228 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(551,plain,
! [SV20: name] :
( ( ! [SY230: name,SY231: pi,SY232: pi,SY233: pi] :
( ( mismatch @ SV20 @ SY230 @ SY231 )
!= ( par @ SY232 @ SY233 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(552,plain,
! [SV21: pi] :
( ( ! [SY234: late_residual,SY235: name,SY236: name] :
( ~ ( late_transitions @ SV21 @ SY234 )
| ~ ( ( SY235 != SY236 ) )
| ( late_transitions @ ( mismatch @ SY235 @ SY236 @ SV21 ) @ SY234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(553,plain,
! [SV22: name] :
( ( ! [SY237: pi,SY238: pi] :
( ( fresh_name_pi @ SV22 @ ( par @ SY237 @ SY238 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV22 @ SY237 )
| ~ ( fresh_name_pi @ SV22 @ SY238 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(554,plain,
! [SV23: pi] :
( ( ! [SY239: late_residual,SY240: name] :
( ~ ( late_transitions @ SV23 @ SY239 )
| ( late_transitions @ ( match @ SY240 @ SY240 @ SV23 ) @ SY239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(555,plain,
! [SV24: name] :
( ( ! [SY241: pi,SY242: name] :
( ~ ( fresh_name_pi @ SV24 @ SY241 )
| ( ( subs @ SY241 @ SV24 @ SY242 )
= SY241 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(556,plain,
! [SV25: pi] :
( ( ! [SY243: pi,SY244: late_residual] :
( ~ ( late_transitions @ ( sum @ SV25 @ SY243 ) @ SY244 )
| ~ ~ ( late_transitions @ SV25 @ SY244 )
| ( late_transitions @ SY243 @ SY244 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(557,plain,
! [SV26: name] :
( ( ! [SY245: name,SY246: pi] :
( ~ ( ( SV26 != SY245 ) )
| ( fresh_name_pi @ SV26 @ ( subs @ SY246 @ SV26 @ SY245 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(558,plain,
( ( x = a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(559,plain,
! [SV27: pi] :
( ( ! [SY247: late_freeRes,SY248: pi,SY249: late_freeRes > pi > $o] :
( ~ ( late_transitions @ ( tau @ SV27 ) @ ( late_FreeR @ SY247 @ SY248 ) )
| ~ ( ( SY247 != late_TauR )
| ( SV27 != SY248 )
| ( SY249 @ late_TauR @ SV27 ) )
| ( SY249 @ SY247 @ SY248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(560,plain,
( ( x = b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(561,plain,
! [SV28: name] :
( ( ! [SY250: name,SY251: name,SY252: pi] :
( ~ ( ( SV28 != SY250 ) )
| ~ ( ( SV28 != SY251 ) )
| ( ( subs @ ( res @ SV28 @ SY252 ) @ SY250 @ SY251 )
= ( res @ SV28 @ ( subs @ SY252 @ SY250 @ SY251 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(562,plain,
! [SV29: name] :
( ( ! [SY253: name,SY254: pi,SY255: late_residual,SY256: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV29 @ SY253 @ SY254 ) @ SY255 )
| ~ ( ~ ( late_transitions @ SY254 @ SY255 )
| ~ ( ( SV29 != SY253 ) )
| ( SY256 @ SV29 @ SY253 ) )
| ( SY256 @ SV29 @ SY253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(563,plain,
! [SV30: pi] :
( ( ! [SY257: pi,SY258: pi,SY259: pi] :
( ( ( par @ SV30 @ SY257 )
= ( par @ SY258 @ SY259 ) )
= ( ~ ( ( SV30 != SY258 )
| ( SY257 != SY259 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(564,plain,
! [SV31: name] :
( ( ! [SY260: name] :
( ( late_OutputR @ SV31 @ SY260 )
!= late_TauR ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(565,plain,
! [SV32: pi] :
( ( ! [SY261: pi,SY262: late_residual] :
( ~ ( late_transitions @ ( sum @ SV32 @ SY261 ) @ SY262 )
| ~ ~ ( late_transitions @ SV32 @ SY262 )
| ( late_transitions @ SY261 @ SY262 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(566,plain,
! [SV33: pi] :
( ( ! [SY263: late_residual,SY264: pi] :
( ~ ( late_transitions @ SV33 @ SY263 )
| ( late_transitions @ ( sum @ SV33 @ SY264 ) @ SY263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(567,plain,
! [SV34: pi] :
( ( ! [SY265: late_freeRes,SY266: pi,SY267: pi] :
( ~ ( late_transitions @ SV34 @ ( late_FreeR @ SY265 @ SY266 ) )
| ( late_transitions @ ( par @ SY267 @ SV34 ) @ ( late_FreeR @ SY265 @ ( par @ SY267 @ SY266 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(568,plain,
! [SV35: pi] :
( ( ! [SY268: pi,SY269: pi] :
( ( par @ SV35 @ SY268 )
!= ( bang @ SY269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(569,plain,
! [SV36: pi] :
( ( ! [SY270: pi,SY271: pi,SY272: pi] :
( ( sum @ SV36 @ SY270 )
!= ( par @ SY271 @ SY272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(570,plain,
! [SV37: name] :
( ( ! [SY273: pi,SY274: name,SY275: name] :
( ~ ( fresh_name_pi @ SV37 @ SY273 )
| ~ ( ( SV37 != SY274 ) )
| ( fresh_name_pi @ SV37 @ ( subs @ SY273 @ SY275 @ SY274 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(571,plain,
! [SV38: name] :
( ( ! [SY276: name] :
( ( late_OutputR @ SV38 @ SY276 )
!= late_TauR ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(572,plain,
! [SV39: late_freeRes > $o] :
( ( ! [SY277: late_freeRes] :
( ~ ! [SY278: name,SY279: name] : ( SV39 @ ( late_OutputR @ SY278 @ SY279 ) )
| ~ ( SV39 @ late_TauR )
| ( SV39 @ SY277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(573,plain,
! [SV40: name] :
( ( ! [SY280: name,SY281: pi,SY282: late_residual] :
( ~ ( late_transitions @ ( match @ SV40 @ SY280 @ SY281 ) @ SY282 )
| ( SV40 = SY280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(574,plain,
! [SV41: pi] :
( ( ! [SY283: late_residual] :
( ~ ( late_transitions @ ( bang @ SV41 ) @ SY283 )
| ~ ! [SY284: pi] :
( ( ( bang @ SV41 )
!= ( bang @ SY284 ) )
| ~ ( late_transitions @ ( par @ SY284 @ ( bang @ SY284 ) ) @ SY283 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(575,plain,
! [SV42: name] :
( ( ! [SY285: name,SY286: pi,SY287: pi,SY288: pi] :
( ( input @ SV42 @ SY285 @ SY286 )
!= ( par @ SY287 @ SY288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(576,plain,
! [SV43: pi] :
( ( ! [SY289: late_residual,SY290: pi] :
( ~ ( late_transitions @ SV43 @ SY289 )
| ( late_transitions @ ( sum @ SY290 @ SV43 ) @ SY289 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(577,plain,
! [SV44: pi] :
( ( ! [SY291: pi,SY292: pi] :
( ( tau @ SV44 )
!= ( par @ SY291 @ SY292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(578,plain,
! [SV45: pi] :
( ( ! [SY293: late_residual] :
( ~ ( late_transitions @ ( par @ SV45 @ ( bang @ SV45 ) ) @ SY293 )
| ( late_transitions @ ( bang @ SV45 ) @ SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(579,plain,
! [SV46: late_residual > $o] :
( ( ! [SY294: late_residual] :
( ~ ! [SY295: late_subject,SY296: name,SY297: pi] : ( SV46 @ ( late_BoundR @ SY295 @ SY296 @ SY297 ) )
| ~ ! [SY298: late_freeRes,SY299: pi] : ( SV46 @ ( late_FreeR @ SY298 @ SY299 ) )
| ( SV46 @ SY294 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(580,plain,
! [SV47: name] :
( ( ! [SY300: name,SY301: pi,SY302: pi,SY303: pi] :
( ( output @ SV47 @ SY300 @ SY301 )
!= ( par @ SY302 @ SY303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(581,plain,
! [SV48: pi] :
( ( ! [SY304: pi] :
( piNil
!= ( par @ SV48 @ SY304 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(582,plain,
! [SV49: name] :
( ( ! [SY305: name,SY306: pi,SY307: late_residual,SY308: name > name > $o] :
( ~ ( late_transitions @ ( match @ SV49 @ SY305 @ SY306 ) @ SY307 )
| ~ ( ~ ( late_transitions @ SY306 @ SY307 )
| ( SV49 != SY305 )
| ( SY308 @ SV49 @ SV49 ) )
| ( SY308 @ SV49 @ SY305 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(583,plain,
! [SV50: late_freeRes] :
( ( ! [SY309: pi,SY310: late_freeRes,SY311: pi] :
( ( ( late_FreeR @ SV50 @ SY309 )
= ( late_FreeR @ SY310 @ SY311 ) )
= ( ~ ( ( SV50 != SY310 )
| ( SY309 != SY311 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(584,plain,
! [SV51: pi] :
( ( ! [SY312: late_freeRes,SY313: pi,SY314: pi] :
( ~ ( late_transitions @ SV51 @ ( late_FreeR @ SY312 @ SY313 ) )
| ( late_transitions @ ( par @ SV51 @ SY314 ) @ ( late_FreeR @ SY312 @ ( par @ SY313 @ SY314 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(585,plain,
! [SV52: pi] :
( ( ! [SY315: late_freeRes,SY316: pi,SY317: name] :
( ~ ( late_transitions @ SV52 @ ( late_FreeR @ SY315 @ SY316 ) )
| ~ ( fresh_name_pi @ SY317 @ SV52 )
| ( fresh_name_pi @ SY317 @ SY316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(586,plain,
! [SV53: pi] :
( ( ! [SY318: late_residual] :
( ~ ( late_transitions @ ( tau @ SV53 ) @ SY318 )
| ~ ! [SY319: pi] :
( ( ( tau @ SV53 )
!= ( tau @ SY319 ) )
| ( SY318
!= ( late_FreeR @ late_TauR @ SY319 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(587,plain,
! [SV54: name] :
( ( ! [SY320: name,SY321: pi,SY322: late_residual] :
( ~ ( late_transitions @ ( mismatch @ SV54 @ SY320 @ SY321 ) @ SY322 )
| ~ ! [SY323: pi,SY324: name,SY325: name] :
( ~ ~ ( ~ ~ ( ( SV54 != SY324 )
| ( SY320 != SY325 ) )
| ( SY321 != SY323 ) )
| ~ ( late_transitions @ SY323 @ SY322 )
| ( SY324 = SY325 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(588,plain,
! [SV55: name] :
( ( ! [SY326: pi,SY327: name,SY328: name] :
( ~ ( fresh_name_pi @ SV55 @ SY326 )
| ( ( subs @ ( subs @ SY326 @ SY327 @ SV55 ) @ SV55 @ SY328 )
= ( subs @ SY326 @ SY327 @ SY328 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(589,plain,
! [SV56: pi,SV1: pi] :
( ( ! [SY329: name,SY330: name] :
( ( subs @ ( par @ SV1 @ SV56 ) @ SY329 @ SY330 )
= ( par @ ( subs @ SV1 @ SY329 @ SY330 ) @ ( subs @ SV56 @ SY329 @ SY330 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(590,plain,
! [SV57: name,SV2: pi] :
( ( ( subs @ SV2 @ SV57 @ SV57 )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(591,plain,
! [SV58: name,SV3: pi] :
( ( ! [SY331: name] :
( ( subs @ ( tau @ SV3 ) @ SV58 @ SY331 )
= ( tau @ ( subs @ SV3 @ SV58 @ SY331 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(592,plain,
! [SV59: name,SV6: name] :
( ( ! [SY332: pi,SY333: pi] :
~ ( late_transitions @ ( output @ SV6 @ SV59 @ SY332 ) @ ( late_FreeR @ late_TauR @ SY333 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(593,plain,
! [SV60: name,SV7: name] :
( ( ! [SY334: pi,SY335: late_freeRes,SY336: pi] :
~ ( late_transitions @ ( input @ SV7 @ SV60 @ SY334 ) @ ( late_FreeR @ SY335 @ SY336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(594,plain,
! [SV61: pi,SV8: name] :
( ( ! [SY337: late_residual] :
~ ( late_transitions @ ( mismatch @ SV8 @ SV8 @ SV61 ) @ SY337 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(595,plain,
! [SV62: name,SV9: pi] :
( ( ! [SY338: name] :
( ( subs @ ( bang @ SV9 ) @ SV62 @ SY338 )
= ( bang @ ( subs @ SV9 @ SV62 @ SY338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(596,plain,
! [SV63: pi,SV10: pi] :
( ( ! [SY339: name,SY340: name] :
( ( subs @ ( sum @ SV10 @ SV63 ) @ SY339 @ SY340 )
= ( sum @ ( subs @ SV10 @ SY339 @ SY340 ) @ ( subs @ SV63 @ SY339 @ SY340 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(597,plain,
! [SV64: name,SV11: name] :
( ( ( subs @ piNil @ SV11 @ SV64 )
= piNil )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(598,plain,
! [SV12: late_residual] :
( ( late_transitions @ piNil @ SV12 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(599,plain,
! [SV13: late_residual] :
( ( late_transitions @ piNil @ SV13 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(600,plain,
! [SV14: $o] :
( ( ( SV14 = $true )
= $true )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(601,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[543]) ).
thf(602,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[544]) ).
thf(603,plain,
! [SV15: late_freeRes] :
( ( ( ~ ! [SY213: name,SY214: name] :
( SV15
!= ( late_OutputR @ SY213 @ SY214 ) ) )
= $true )
| ( ( SV15 = late_TauR )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[546]) ).
thf(604,plain,
! [SV65: name,SV16: name] :
( ( ! [SY341: pi,SY342: pi,SY343: pi] :
( ( match @ SV16 @ SV65 @ SY341 )
!= ( par @ SY342 @ SY343 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(605,plain,
! [SV66: pi,SV17: pi] :
( ( ! [SY344: name,SY345: pi] :
( ( par @ SV17 @ SV66 )
!= ( res @ SY344 @ SY345 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(606,plain,
! [SV67: name,SV18: late_subject] :
( ( ! [SY346: pi,SY347: late_freeRes,SY348: pi] :
( ( late_BoundR @ SV18 @ SV67 @ SY346 )
!= ( late_FreeR @ SY347 @ SY348 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(607,plain,
! [SV68: name,SV19: name] :
( ( ! [SY349: pi,SY350: late_residual] :
( ~ ( late_transitions @ ( match @ SV19 @ SV68 @ SY349 ) @ SY350 )
| ~ ! [SY351: pi] :
( ~ ~ ( ( SV68 != SV19 )
| ( SY349 != SY351 ) )
| ~ ( late_transitions @ SY351 @ SY350 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(608,plain,
! [SV69: name,SV20: name] :
( ( ! [SY352: pi,SY353: pi,SY354: pi] :
( ( mismatch @ SV20 @ SV69 @ SY352 )
!= ( par @ SY353 @ SY354 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(609,plain,
! [SV70: late_residual,SV21: pi] :
( ( ! [SY355: name,SY356: name] :
( ~ ( late_transitions @ SV21 @ SV70 )
| ~ ( ( SY355 != SY356 ) )
| ( late_transitions @ ( mismatch @ SY355 @ SY356 @ SV21 ) @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(610,plain,
! [SV71: pi,SV22: name] :
( ( ! [SY357: pi] :
( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SY357 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SY357 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(611,plain,
! [SV72: late_residual,SV23: pi] :
( ( ! [SY358: name] :
( ~ ( late_transitions @ SV23 @ SV72 )
| ( late_transitions @ ( match @ SY358 @ SY358 @ SV23 ) @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(612,plain,
! [SV73: pi,SV24: name] :
( ( ! [SY359: name] :
( ~ ( fresh_name_pi @ SV24 @ SV73 )
| ( ( subs @ SV73 @ SV24 @ SY359 )
= SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(613,plain,
! [SV74: pi,SV25: pi] :
( ( ! [SY360: late_residual] :
( ~ ( late_transitions @ ( sum @ SV25 @ SV74 ) @ SY360 )
| ~ ~ ( late_transitions @ SV25 @ SY360 )
| ( late_transitions @ SV74 @ SY360 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(614,plain,
! [SV75: name,SV26: name] :
( ( ! [SY361: pi] :
( ~ ( ( SV26 != SV75 ) )
| ( fresh_name_pi @ SV26 @ ( subs @ SY361 @ SV26 @ SV75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(615,plain,
! [SV76: late_freeRes,SV27: pi] :
( ( ! [SY362: pi,SY363: late_freeRes > pi > $o] :
( ~ ( late_transitions @ ( tau @ SV27 ) @ ( late_FreeR @ SV76 @ SY362 ) )
| ~ ( ( SV76 != late_TauR )
| ( SV27 != SY362 )
| ( SY363 @ late_TauR @ SV27 ) )
| ( SY363 @ SV76 @ SY362 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(616,plain,
! [SV77: name,SV28: name] :
( ( ! [SY364: name,SY365: pi] :
( ~ ( ( SV28 != SV77 ) )
| ~ ( ( SV28 != SY364 ) )
| ( ( subs @ ( res @ SV28 @ SY365 ) @ SV77 @ SY364 )
= ( res @ SV28 @ ( subs @ SY365 @ SV77 @ SY364 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(617,plain,
! [SV78: name,SV29: name] :
( ( ! [SY366: pi,SY367: late_residual,SY368: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV29 @ SV78 @ SY366 ) @ SY367 )
| ~ ( ~ ( late_transitions @ SY366 @ SY367 )
| ~ ( ( SV29 != SV78 ) )
| ( SY368 @ SV29 @ SV78 ) )
| ( SY368 @ SV29 @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(618,plain,
! [SV79: pi,SV30: pi] :
( ( ! [SY369: pi,SY370: pi] :
( ( ( par @ SV30 @ SV79 )
= ( par @ SY369 @ SY370 ) )
= ( ~ ( ( SV30 != SY369 )
| ( SV79 != SY370 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(619,plain,
! [SV80: name,SV31: name] :
( ( ( late_OutputR @ SV31 @ SV80 )
!= late_TauR )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(620,plain,
! [SV81: pi,SV32: pi] :
( ( ! [SY371: late_residual] :
( ~ ( late_transitions @ ( sum @ SV32 @ SV81 ) @ SY371 )
| ~ ~ ( late_transitions @ SV32 @ SY371 )
| ( late_transitions @ SV81 @ SY371 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(621,plain,
! [SV82: late_residual,SV33: pi] :
( ( ! [SY372: pi] :
( ~ ( late_transitions @ SV33 @ SV82 )
| ( late_transitions @ ( sum @ SV33 @ SY372 ) @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(622,plain,
! [SV83: late_freeRes,SV34: pi] :
( ( ! [SY373: pi,SY374: pi] :
( ~ ( late_transitions @ SV34 @ ( late_FreeR @ SV83 @ SY373 ) )
| ( late_transitions @ ( par @ SY374 @ SV34 ) @ ( late_FreeR @ SV83 @ ( par @ SY374 @ SY373 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(623,plain,
! [SV84: pi,SV35: pi] :
( ( ! [SY375: pi] :
( ( par @ SV35 @ SV84 )
!= ( bang @ SY375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(624,plain,
! [SV85: pi,SV36: pi] :
( ( ! [SY376: pi,SY377: pi] :
( ( sum @ SV36 @ SV85 )
!= ( par @ SY376 @ SY377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(625,plain,
! [SV86: pi,SV37: name] :
( ( ! [SY378: name,SY379: name] :
( ~ ( fresh_name_pi @ SV37 @ SV86 )
| ~ ( ( SV37 != SY378 ) )
| ( fresh_name_pi @ SV37 @ ( subs @ SV86 @ SY379 @ SY378 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(626,plain,
! [SV87: name,SV38: name] :
( ( ( late_OutputR @ SV38 @ SV87 )
!= late_TauR )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(627,plain,
! [SV88: late_freeRes,SV39: late_freeRes > $o] :
( ( ~ ! [SY278: name,SY279: name] : ( SV39 @ ( late_OutputR @ SY278 @ SY279 ) )
| ~ ( SV39 @ late_TauR )
| ( SV39 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(628,plain,
! [SV89: name,SV40: name] :
( ( ! [SY382: pi,SY383: late_residual] :
( ~ ( late_transitions @ ( match @ SV40 @ SV89 @ SY382 ) @ SY383 )
| ( SV40 = SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(629,plain,
! [SV90: late_residual,SV41: pi] :
( ( ~ ( late_transitions @ ( bang @ SV41 ) @ SV90 )
| ~ ! [SY384: pi] :
( ( ( bang @ SV41 )
!= ( bang @ SY384 ) )
| ~ ( late_transitions @ ( par @ SY384 @ ( bang @ SY384 ) ) @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(630,plain,
! [SV91: name,SV42: name] :
( ( ! [SY385: pi,SY386: pi,SY387: pi] :
( ( input @ SV42 @ SV91 @ SY385 )
!= ( par @ SY386 @ SY387 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(631,plain,
! [SV92: late_residual,SV43: pi] :
( ( ! [SY388: pi] :
( ~ ( late_transitions @ SV43 @ SV92 )
| ( late_transitions @ ( sum @ SY388 @ SV43 ) @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(632,plain,
! [SV93: pi,SV44: pi] :
( ( ! [SY389: pi] :
( ( tau @ SV44 )
!= ( par @ SV93 @ SY389 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(633,plain,
! [SV94: late_residual,SV45: pi] :
( ( ~ ( late_transitions @ ( par @ SV45 @ ( bang @ SV45 ) ) @ SV94 )
| ( late_transitions @ ( bang @ SV45 ) @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(634,plain,
! [SV95: late_residual,SV46: late_residual > $o] :
( ( ~ ! [SY295: late_subject,SY296: name,SY297: pi] : ( SV46 @ ( late_BoundR @ SY295 @ SY296 @ SY297 ) )
| ~ ! [SY298: late_freeRes,SY299: pi] : ( SV46 @ ( late_FreeR @ SY298 @ SY299 ) )
| ( SV46 @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(635,plain,
! [SV96: name,SV47: name] :
( ( ! [SY395: pi,SY396: pi,SY397: pi] :
( ( output @ SV47 @ SV96 @ SY395 )
!= ( par @ SY396 @ SY397 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(636,plain,
! [SV97: pi,SV48: pi] :
( ( piNil
!= ( par @ SV48 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(637,plain,
! [SV98: name,SV49: name] :
( ( ! [SY398: pi,SY399: late_residual,SY400: name > name > $o] :
( ~ ( late_transitions @ ( match @ SV49 @ SV98 @ SY398 ) @ SY399 )
| ~ ( ~ ( late_transitions @ SY398 @ SY399 )
| ( SV49 != SV98 )
| ( SY400 @ SV49 @ SV49 ) )
| ( SY400 @ SV49 @ SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(638,plain,
! [SV99: pi,SV50: late_freeRes] :
( ( ! [SY401: late_freeRes,SY402: pi] :
( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SY401 @ SY402 ) )
= ( ~ ( ( SV50 != SY401 )
| ( SV99 != SY402 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(639,plain,
! [SV100: late_freeRes,SV51: pi] :
( ( ! [SY403: pi,SY404: pi] :
( ~ ( late_transitions @ SV51 @ ( late_FreeR @ SV100 @ SY403 ) )
| ( late_transitions @ ( par @ SV51 @ SY404 ) @ ( late_FreeR @ SV100 @ ( par @ SY403 @ SY404 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(640,plain,
! [SV101: late_freeRes,SV52: pi] :
( ( ! [SY405: pi,SY406: name] :
( ~ ( late_transitions @ SV52 @ ( late_FreeR @ SV101 @ SY405 ) )
| ~ ( fresh_name_pi @ SY406 @ SV52 )
| ( fresh_name_pi @ SY406 @ SY405 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(641,plain,
! [SV102: late_residual,SV53: pi] :
( ( ~ ( late_transitions @ ( tau @ SV53 ) @ SV102 )
| ~ ! [SY407: pi] :
( ( ( tau @ SV53 )
!= ( tau @ SY407 ) )
| ( SV102
!= ( late_FreeR @ late_TauR @ SY407 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(642,plain,
! [SV103: name,SV54: name] :
( ( ! [SY408: pi,SY409: late_residual] :
( ~ ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SY408 ) @ SY409 )
| ~ ! [SY410: pi,SY411: name,SY412: name] :
( ~ ~ ( ~ ~ ( ( SV54 != SY411 )
| ( SV103 != SY412 ) )
| ( SY408 != SY410 ) )
| ~ ( late_transitions @ SY410 @ SY409 )
| ( SY411 = SY412 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(643,plain,
! [SV104: pi,SV55: name] :
( ( ! [SY413: name,SY414: name] :
( ~ ( fresh_name_pi @ SV55 @ SV104 )
| ( ( subs @ ( subs @ SV104 @ SY413 @ SV55 ) @ SV55 @ SY414 )
= ( subs @ SV104 @ SY413 @ SY414 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(644,plain,
! [SV105: name,SV56: pi,SV1: pi] :
( ( ! [SY415: name] :
( ( subs @ ( par @ SV1 @ SV56 ) @ SV105 @ SY415 )
= ( par @ ( subs @ SV1 @ SV105 @ SY415 ) @ ( subs @ SV56 @ SV105 @ SY415 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(645,plain,
! [SV106: name,SV58: name,SV3: pi] :
( ( ( subs @ ( tau @ SV3 ) @ SV58 @ SV106 )
= ( tau @ ( subs @ SV3 @ SV58 @ SV106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(646,plain,
! [SV107: pi,SV59: name,SV6: name] :
( ( ! [SY416: pi] :
~ ( late_transitions @ ( output @ SV6 @ SV59 @ SV107 ) @ ( late_FreeR @ late_TauR @ SY416 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(647,plain,
! [SV108: pi,SV60: name,SV7: name] :
( ( ! [SY417: late_freeRes,SY418: pi] :
~ ( late_transitions @ ( input @ SV7 @ SV60 @ SV108 ) @ ( late_FreeR @ SY417 @ SY418 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(648,plain,
! [SV109: late_residual,SV61: pi,SV8: name] :
( ( ~ ( late_transitions @ ( mismatch @ SV8 @ SV8 @ SV61 ) @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(649,plain,
! [SV110: name,SV62: name,SV9: pi] :
( ( ( subs @ ( bang @ SV9 ) @ SV62 @ SV110 )
= ( bang @ ( subs @ SV9 @ SV62 @ SV110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(650,plain,
! [SV111: name,SV63: pi,SV10: pi] :
( ( ! [SY419: name] :
( ( subs @ ( sum @ SV10 @ SV63 ) @ SV111 @ SY419 )
= ( sum @ ( subs @ SV10 @ SV111 @ SY419 ) @ ( subs @ SV63 @ SV111 @ SY419 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(651,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $true )
| ~ ( ~ SV14
| ~ $true ) )
= $true )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[600]) ).
thf(652,plain,
! [SV14: $o] :
( ( ( SV14 = $true )
= $true )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[600]) ).
thf(653,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[601]) ).
thf(654,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[601]) ).
thf(655,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[602]) ).
thf(656,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[602]) ).
thf(657,plain,
! [SV15: late_freeRes] :
( ( ( ! [SY213: name,SY214: name] :
( SV15
!= ( late_OutputR @ SY213 @ SY214 ) ) )
= $false )
| ( ( SV15 = late_TauR )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(658,plain,
! [SV112: pi,SV65: name,SV16: name] :
( ( ! [SY420: pi,SY421: pi] :
( ( match @ SV16 @ SV65 @ SV112 )
!= ( par @ SY420 @ SY421 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(659,plain,
! [SV113: name,SV66: pi,SV17: pi] :
( ( ! [SY422: pi] :
( ( par @ SV17 @ SV66 )
!= ( res @ SV113 @ SY422 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(660,plain,
! [SV114: pi,SV67: name,SV18: late_subject] :
( ( ! [SY423: late_freeRes,SY424: pi] :
( ( late_BoundR @ SV18 @ SV67 @ SV114 )
!= ( late_FreeR @ SY423 @ SY424 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(661,plain,
! [SV115: pi,SV68: name,SV19: name] :
( ( ! [SY425: late_residual] :
( ~ ( late_transitions @ ( match @ SV19 @ SV68 @ SV115 ) @ SY425 )
| ~ ! [SY426: pi] :
( ~ ~ ( ( SV68 != SV19 )
| ( SV115 != SY426 ) )
| ~ ( late_transitions @ SY426 @ SY425 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(662,plain,
! [SV116: pi,SV69: name,SV20: name] :
( ( ! [SY427: pi,SY428: pi] :
( ( mismatch @ SV20 @ SV69 @ SV116 )
!= ( par @ SY427 @ SY428 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(663,plain,
! [SV117: name,SV70: late_residual,SV21: pi] :
( ( ! [SY429: name] :
( ~ ( late_transitions @ SV21 @ SV70 )
| ~ ( ( SV117 != SY429 ) )
| ( late_transitions @ ( mismatch @ SV117 @ SY429 @ SV21 ) @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(664,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(665,plain,
! [SV119: name,SV72: late_residual,SV23: pi] :
( ( ~ ( late_transitions @ SV23 @ SV72 )
| ( late_transitions @ ( match @ SV119 @ SV119 @ SV23 ) @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(666,plain,
! [SV120: name,SV73: pi,SV24: name] :
( ( ~ ( fresh_name_pi @ SV24 @ SV73 )
| ( ( subs @ SV73 @ SV24 @ SV120 )
= SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(667,plain,
! [SV121: late_residual,SV74: pi,SV25: pi] :
( ( ~ ( late_transitions @ ( sum @ SV25 @ SV74 ) @ SV121 )
| ~ ~ ( late_transitions @ SV25 @ SV121 )
| ( late_transitions @ SV74 @ SV121 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(668,plain,
! [SV122: pi,SV75: name,SV26: name] :
( ( ~ ( ( SV26 != SV75 ) )
| ( fresh_name_pi @ SV26 @ ( subs @ SV122 @ SV26 @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(669,plain,
! [SV123: pi,SV76: late_freeRes,SV27: pi] :
( ( ! [SY430: late_freeRes > pi > $o] :
( ~ ( late_transitions @ ( tau @ SV27 ) @ ( late_FreeR @ SV76 @ SV123 ) )
| ~ ( ( SV76 != late_TauR )
| ( SV27 != SV123 )
| ( SY430 @ late_TauR @ SV27 ) )
| ( SY430 @ SV76 @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(670,plain,
! [SV124: name,SV77: name,SV28: name] :
( ( ! [SY431: pi] :
( ~ ( ( SV28 != SV77 ) )
| ~ ( ( SV28 != SV124 ) )
| ( ( subs @ ( res @ SV28 @ SY431 ) @ SV77 @ SV124 )
= ( res @ SV28 @ ( subs @ SY431 @ SV77 @ SV124 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(671,plain,
! [SV125: pi,SV78: name,SV29: name] :
( ( ! [SY432: late_residual,SY433: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV29 @ SV78 @ SV125 ) @ SY432 )
| ~ ( ~ ( late_transitions @ SV125 @ SY432 )
| ~ ( ( SV29 != SV78 ) )
| ( SY433 @ SV29 @ SV78 ) )
| ( SY433 @ SV29 @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(672,plain,
! [SV126: pi,SV79: pi,SV30: pi] :
( ( ! [SY434: pi] :
( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SY434 ) )
= ( ~ ( ( SV30 != SV126 )
| ( SV79 != SY434 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(673,plain,
! [SV80: name,SV31: name] :
( ( ( late_OutputR @ SV31 @ SV80 )
= late_TauR )
= $false ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(674,plain,
! [SV127: late_residual,SV81: pi,SV32: pi] :
( ( ~ ( late_transitions @ ( sum @ SV32 @ SV81 ) @ SV127 )
| ~ ~ ( late_transitions @ SV32 @ SV127 )
| ( late_transitions @ SV81 @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(675,plain,
! [SV128: pi,SV82: late_residual,SV33: pi] :
( ( ~ ( late_transitions @ SV33 @ SV82 )
| ( late_transitions @ ( sum @ SV33 @ SV128 ) @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(676,plain,
! [SV129: pi,SV83: late_freeRes,SV34: pi] :
( ( ! [SY435: pi] :
( ~ ( late_transitions @ SV34 @ ( late_FreeR @ SV83 @ SV129 ) )
| ( late_transitions @ ( par @ SY435 @ SV34 ) @ ( late_FreeR @ SV83 @ ( par @ SY435 @ SV129 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(677,plain,
! [SV130: pi,SV84: pi,SV35: pi] :
( ( ( par @ SV35 @ SV84 )
!= ( bang @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(678,plain,
! [SV131: pi,SV85: pi,SV36: pi] :
( ( ! [SY436: pi] :
( ( sum @ SV36 @ SV85 )
!= ( par @ SV131 @ SY436 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(679,plain,
! [SV132: name,SV86: pi,SV37: name] :
( ( ! [SY437: name] :
( ~ ( fresh_name_pi @ SV37 @ SV86 )
| ~ ( ( SV37 != SV132 ) )
| ( fresh_name_pi @ SV37 @ ( subs @ SV86 @ SY437 @ SV132 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(680,plain,
! [SV87: name,SV38: name] :
( ( ( late_OutputR @ SV38 @ SV87 )
= late_TauR )
= $false ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(681,plain,
! [SV88: late_freeRes,SV39: late_freeRes > $o] :
( ( ( ~ ! [SY278: name,SY279: name] : ( SV39 @ ( late_OutputR @ SY278 @ SY279 ) ) )
= $true )
| ( ( ~ ( SV39 @ late_TauR )
| ( SV39 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(682,plain,
! [SV133: pi,SV89: name,SV40: name] :
( ( ! [SY438: late_residual] :
( ~ ( late_transitions @ ( match @ SV40 @ SV89 @ SV133 ) @ SY438 )
| ( SV40 = SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(683,plain,
! [SV90: late_residual,SV41: pi] :
( ( ( ~ ( late_transitions @ ( bang @ SV41 ) @ SV90 ) )
= $true )
| ( ( ~ ! [SY384: pi] :
( ( ( bang @ SV41 )
!= ( bang @ SY384 ) )
| ~ ( late_transitions @ ( par @ SY384 @ ( bang @ SY384 ) ) @ SV90 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(684,plain,
! [SV134: pi,SV91: name,SV42: name] :
( ( ! [SY439: pi,SY440: pi] :
( ( input @ SV42 @ SV91 @ SV134 )
!= ( par @ SY439 @ SY440 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(685,plain,
! [SV135: pi,SV92: late_residual,SV43: pi] :
( ( ~ ( late_transitions @ SV43 @ SV92 )
| ( late_transitions @ ( sum @ SV135 @ SV43 ) @ SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(686,plain,
! [SV136: pi,SV93: pi,SV44: pi] :
( ( ( tau @ SV44 )
!= ( par @ SV93 @ SV136 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(687,plain,
! [SV94: late_residual,SV45: pi] :
( ( ( ~ ( late_transitions @ ( par @ SV45 @ ( bang @ SV45 ) ) @ SV94 ) )
= $true )
| ( ( late_transitions @ ( bang @ SV45 ) @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(688,plain,
! [SV95: late_residual,SV46: late_residual > $o] :
( ( ( ~ ! [SY295: late_subject,SY296: name,SY297: pi] : ( SV46 @ ( late_BoundR @ SY295 @ SY296 @ SY297 ) ) )
= $true )
| ( ( ~ ! [SY298: late_freeRes,SY299: pi] : ( SV46 @ ( late_FreeR @ SY298 @ SY299 ) )
| ( SV46 @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(689,plain,
! [SV137: pi,SV96: name,SV47: name] :
( ( ! [SY441: pi,SY442: pi] :
( ( output @ SV47 @ SV96 @ SV137 )
!= ( par @ SY441 @ SY442 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(690,plain,
! [SV97: pi,SV48: pi] :
( ( piNil
= ( par @ SV48 @ SV97 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(691,plain,
! [SV138: pi,SV98: name,SV49: name] :
( ( ! [SY443: late_residual,SY444: name > name > $o] :
( ~ ( late_transitions @ ( match @ SV49 @ SV98 @ SV138 ) @ SY443 )
| ~ ( ~ ( late_transitions @ SV138 @ SY443 )
| ( SV49 != SV98 )
| ( SY444 @ SV49 @ SV49 ) )
| ( SY444 @ SV49 @ SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(692,plain,
! [SV139: late_freeRes,SV99: pi,SV50: late_freeRes] :
( ( ! [SY445: pi] :
( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SY445 ) )
= ( ~ ( ( SV50 != SV139 )
| ( SV99 != SY445 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(693,plain,
! [SV140: pi,SV100: late_freeRes,SV51: pi] :
( ( ! [SY446: pi] :
( ~ ( late_transitions @ SV51 @ ( late_FreeR @ SV100 @ SV140 ) )
| ( late_transitions @ ( par @ SV51 @ SY446 ) @ ( late_FreeR @ SV100 @ ( par @ SV140 @ SY446 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(694,plain,
! [SV141: pi,SV101: late_freeRes,SV52: pi] :
( ( ! [SY447: name] :
( ~ ( late_transitions @ SV52 @ ( late_FreeR @ SV101 @ SV141 ) )
| ~ ( fresh_name_pi @ SY447 @ SV52 )
| ( fresh_name_pi @ SY447 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(695,plain,
! [SV102: late_residual,SV53: pi] :
( ( ( ~ ( late_transitions @ ( tau @ SV53 ) @ SV102 ) )
= $true )
| ( ( ~ ! [SY407: pi] :
( ( ( tau @ SV53 )
!= ( tau @ SY407 ) )
| ( SV102
!= ( late_FreeR @ late_TauR @ SY407 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(696,plain,
! [SV142: pi,SV103: name,SV54: name] :
( ( ! [SY448: late_residual] :
( ~ ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SY448 )
| ~ ! [SY449: pi,SY450: name,SY451: name] :
( ~ ~ ( ~ ~ ( ( SV54 != SY450 )
| ( SV103 != SY451 ) )
| ( SV142 != SY449 ) )
| ~ ( late_transitions @ SY449 @ SY448 )
| ( SY450 = SY451 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(697,plain,
! [SV143: name,SV104: pi,SV55: name] :
( ( ! [SY452: name] :
( ~ ( fresh_name_pi @ SV55 @ SV104 )
| ( ( subs @ ( subs @ SV104 @ SV143 @ SV55 ) @ SV55 @ SY452 )
= ( subs @ SV104 @ SV143 @ SY452 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(698,plain,
! [SV144: name,SV105: name,SV56: pi,SV1: pi] :
( ( ( subs @ ( par @ SV1 @ SV56 ) @ SV105 @ SV144 )
= ( par @ ( subs @ SV1 @ SV105 @ SV144 ) @ ( subs @ SV56 @ SV105 @ SV144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(699,plain,
! [SV145: pi,SV107: pi,SV59: name,SV6: name] :
( ( ~ ( late_transitions @ ( output @ SV6 @ SV59 @ SV107 ) @ ( late_FreeR @ late_TauR @ SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(700,plain,
! [SV146: late_freeRes,SV108: pi,SV60: name,SV7: name] :
( ( ! [SY453: pi] :
~ ( late_transitions @ ( input @ SV7 @ SV60 @ SV108 ) @ ( late_FreeR @ SV146 @ SY453 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(701,plain,
! [SV109: late_residual,SV61: pi,SV8: name] :
( ( late_transitions @ ( mismatch @ SV8 @ SV8 @ SV61 ) @ SV109 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(702,plain,
! [SV147: name,SV111: name,SV63: pi,SV10: pi] :
( ( ( subs @ ( sum @ SV10 @ SV63 ) @ SV111 @ SV147 )
= ( sum @ ( subs @ SV10 @ SV111 @ SV147 ) @ ( subs @ SV63 @ SV111 @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(703,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $true ) )
= $true )
| ( ( ~ ( ~ SV14
| ~ $true ) )
= $true )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(704,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false )
| ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[652]) ).
thf(705,plain,
! [SV14: $o] :
( ( ( SV14 = $false )
= $true )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[652]) ).
thf(706,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(707,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[654]) ).
thf(708,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[654]) ).
thf(709,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(710,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[656]) ).
thf(711,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[656]) ).
thf(712,plain,
! [SV15: late_freeRes] :
( ( ( ! [SY454: name] :
( SV15
!= ( late_OutputR @ ( sK1_SY213 @ SV15 ) @ SY454 ) ) )
= $false )
| ( ( SV15 = late_TauR )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[657]) ).
thf(713,plain,
! [SV148: pi,SV112: pi,SV65: name,SV16: name] :
( ( ! [SY455: pi] :
( ( match @ SV16 @ SV65 @ SV112 )
!= ( par @ SV148 @ SY455 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(714,plain,
! [SV149: pi,SV113: name,SV66: pi,SV17: pi] :
( ( ( par @ SV17 @ SV66 )
!= ( res @ SV113 @ SV149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(715,plain,
! [SV150: late_freeRes,SV114: pi,SV67: name,SV18: late_subject] :
( ( ! [SY456: pi] :
( ( late_BoundR @ SV18 @ SV67 @ SV114 )
!= ( late_FreeR @ SV150 @ SY456 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(716,plain,
! [SV151: late_residual,SV115: pi,SV68: name,SV19: name] :
( ( ~ ( late_transitions @ ( match @ SV19 @ SV68 @ SV115 ) @ SV151 )
| ~ ! [SY457: pi] :
( ~ ~ ( ( SV68 != SV19 )
| ( SV115 != SY457 ) )
| ~ ( late_transitions @ SY457 @ SV151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(717,plain,
! [SV152: pi,SV116: pi,SV69: name,SV20: name] :
( ( ! [SY458: pi] :
( ( mismatch @ SV20 @ SV69 @ SV116 )
!= ( par @ SV152 @ SY458 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(718,plain,
! [SV153: name,SV117: name,SV70: late_residual,SV21: pi] :
( ( ~ ( late_transitions @ SV21 @ SV70 )
| ~ ( ( SV117 != SV153 ) )
| ( late_transitions @ ( mismatch @ SV117 @ SV153 @ SV21 ) @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(719,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ~ ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
| ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) )
| ~ ( ~ ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[664]) ).
thf(720,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
= ( ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[664]) ).
thf(721,plain,
! [SV119: name,SV72: late_residual,SV23: pi] :
( ( ( ~ ( late_transitions @ SV23 @ SV72 ) )
= $true )
| ( ( late_transitions @ ( match @ SV119 @ SV119 @ SV23 ) @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[665]) ).
thf(722,plain,
! [SV120: name,SV73: pi,SV24: name] :
( ( ( ~ ( fresh_name_pi @ SV24 @ SV73 ) )
= $true )
| ( ( ( subs @ SV73 @ SV24 @ SV120 )
= SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(723,plain,
! [SV121: late_residual,SV74: pi,SV25: pi] :
( ( ( ~ ( late_transitions @ ( sum @ SV25 @ SV74 ) @ SV121 ) )
= $true )
| ( ( ~ ~ ( late_transitions @ SV25 @ SV121 )
| ( late_transitions @ SV74 @ SV121 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(724,plain,
! [SV122: pi,SV75: name,SV26: name] :
( ( ( ~ ( ( SV26 != SV75 ) ) )
= $true )
| ( ( fresh_name_pi @ SV26 @ ( subs @ SV122 @ SV26 @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(725,plain,
! [SV154: late_freeRes > pi > $o,SV123: pi,SV76: late_freeRes,SV27: pi] :
( ( ~ ( late_transitions @ ( tau @ SV27 ) @ ( late_FreeR @ SV76 @ SV123 ) )
| ~ ( ( SV76 != late_TauR )
| ( SV27 != SV123 )
| ( SV154 @ late_TauR @ SV27 ) )
| ( SV154 @ SV76 @ SV123 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(726,plain,
! [SV155: pi,SV124: name,SV77: name,SV28: name] :
( ( ~ ( ( SV28 != SV77 ) )
| ~ ( ( SV28 != SV124 ) )
| ( ( subs @ ( res @ SV28 @ SV155 ) @ SV77 @ SV124 )
= ( res @ SV28 @ ( subs @ SV155 @ SV77 @ SV124 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(727,plain,
! [SV156: late_residual,SV125: pi,SV78: name,SV29: name] :
( ( ! [SY459: name > name > $o] :
( ~ ( late_transitions @ ( mismatch @ SV29 @ SV78 @ SV125 ) @ SV156 )
| ~ ( ~ ( late_transitions @ SV125 @ SV156 )
| ~ ( ( SV29 != SV78 ) )
| ( SY459 @ SV29 @ SV78 ) )
| ( SY459 @ SV29 @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(728,plain,
! [SV157: pi,SV126: pi,SV79: pi,SV30: pi] :
( ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
= ( ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(729,plain,
! [SV127: late_residual,SV81: pi,SV32: pi] :
( ( ( ~ ( late_transitions @ ( sum @ SV32 @ SV81 ) @ SV127 ) )
= $true )
| ( ( ~ ~ ( late_transitions @ SV32 @ SV127 )
| ( late_transitions @ SV81 @ SV127 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(730,plain,
! [SV128: pi,SV82: late_residual,SV33: pi] :
( ( ( ~ ( late_transitions @ SV33 @ SV82 ) )
= $true )
| ( ( late_transitions @ ( sum @ SV33 @ SV128 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(731,plain,
! [SV158: pi,SV129: pi,SV83: late_freeRes,SV34: pi] :
( ( ~ ( late_transitions @ SV34 @ ( late_FreeR @ SV83 @ SV129 ) )
| ( late_transitions @ ( par @ SV158 @ SV34 ) @ ( late_FreeR @ SV83 @ ( par @ SV158 @ SV129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(732,plain,
! [SV130: pi,SV84: pi,SV35: pi] :
( ( ( par @ SV35 @ SV84 )
= ( bang @ SV130 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(733,plain,
! [SV159: pi,SV131: pi,SV85: pi,SV36: pi] :
( ( ( sum @ SV36 @ SV85 )
!= ( par @ SV131 @ SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(734,plain,
! [SV160: name,SV132: name,SV86: pi,SV37: name] :
( ( ~ ( fresh_name_pi @ SV37 @ SV86 )
| ~ ( ( SV37 != SV132 ) )
| ( fresh_name_pi @ SV37 @ ( subs @ SV86 @ SV160 @ SV132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(735,plain,
! [SV88: late_freeRes,SV39: late_freeRes > $o] :
( ( ( ! [SY278: name,SY279: name] : ( SV39 @ ( late_OutputR @ SY278 @ SY279 ) ) )
= $false )
| ( ( ~ ( SV39 @ late_TauR )
| ( SV39 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(736,plain,
! [SV161: late_residual,SV133: pi,SV89: name,SV40: name] :
( ( ~ ( late_transitions @ ( match @ SV40 @ SV89 @ SV133 ) @ SV161 )
| ( SV40 = SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(737,plain,
! [SV90: late_residual,SV41: pi] :
( ( ( late_transitions @ ( bang @ SV41 ) @ SV90 )
= $false )
| ( ( ~ ! [SY384: pi] :
( ( ( bang @ SV41 )
!= ( bang @ SY384 ) )
| ~ ( late_transitions @ ( par @ SY384 @ ( bang @ SY384 ) ) @ SV90 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(738,plain,
! [SV162: pi,SV134: pi,SV91: name,SV42: name] :
( ( ! [SY460: pi] :
( ( input @ SV42 @ SV91 @ SV134 )
!= ( par @ SV162 @ SY460 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(739,plain,
! [SV135: pi,SV92: late_residual,SV43: pi] :
( ( ( ~ ( late_transitions @ SV43 @ SV92 ) )
= $true )
| ( ( late_transitions @ ( sum @ SV135 @ SV43 ) @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(740,plain,
! [SV136: pi,SV93: pi,SV44: pi] :
( ( ( tau @ SV44 )
= ( par @ SV93 @ SV136 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(741,plain,
! [SV94: late_residual,SV45: pi] :
( ( ( late_transitions @ ( par @ SV45 @ ( bang @ SV45 ) ) @ SV94 )
= $false )
| ( ( late_transitions @ ( bang @ SV45 ) @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(742,plain,
! [SV95: late_residual,SV46: late_residual > $o] :
( ( ( ! [SY295: late_subject,SY296: name,SY297: pi] : ( SV46 @ ( late_BoundR @ SY295 @ SY296 @ SY297 ) ) )
= $false )
| ( ( ~ ! [SY298: late_freeRes,SY299: pi] : ( SV46 @ ( late_FreeR @ SY298 @ SY299 ) )
| ( SV46 @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(743,plain,
! [SV163: pi,SV137: pi,SV96: name,SV47: name] :
( ( ! [SY461: pi] :
( ( output @ SV47 @ SV96 @ SV137 )
!= ( par @ SV163 @ SY461 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(744,plain,
! [SV164: late_residual,SV138: pi,SV98: name,SV49: name] :
( ( ! [SY462: name > name > $o] :
( ~ ( late_transitions @ ( match @ SV49 @ SV98 @ SV138 ) @ SV164 )
| ~ ( ~ ( late_transitions @ SV138 @ SV164 )
| ( SV49 != SV98 )
| ( SY462 @ SV49 @ SV49 ) )
| ( SY462 @ SV49 @ SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(745,plain,
! [SV165: pi,SV139: late_freeRes,SV99: pi,SV50: late_freeRes] :
( ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
= ( ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(746,plain,
! [SV166: pi,SV140: pi,SV100: late_freeRes,SV51: pi] :
( ( ~ ( late_transitions @ SV51 @ ( late_FreeR @ SV100 @ SV140 ) )
| ( late_transitions @ ( par @ SV51 @ SV166 ) @ ( late_FreeR @ SV100 @ ( par @ SV140 @ SV166 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(747,plain,
! [SV167: name,SV141: pi,SV101: late_freeRes,SV52: pi] :
( ( ~ ( late_transitions @ SV52 @ ( late_FreeR @ SV101 @ SV141 ) )
| ~ ( fresh_name_pi @ SV167 @ SV52 )
| ( fresh_name_pi @ SV167 @ SV141 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(748,plain,
! [SV102: late_residual,SV53: pi] :
( ( ( late_transitions @ ( tau @ SV53 ) @ SV102 )
= $false )
| ( ( ~ ! [SY407: pi] :
( ( ( tau @ SV53 )
!= ( tau @ SY407 ) )
| ( SV102
!= ( late_FreeR @ late_TauR @ SY407 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(749,plain,
! [SV168: late_residual,SV142: pi,SV103: name,SV54: name] :
( ( ~ ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
| ~ ! [SY463: pi,SY464: name,SY465: name] :
( ~ ~ ( ~ ~ ( ( SV54 != SY464 )
| ( SV103 != SY465 ) )
| ( SV142 != SY463 ) )
| ~ ( late_transitions @ SY463 @ SV168 )
| ( SY464 = SY465 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(750,plain,
! [SV169: name,SV143: name,SV104: pi,SV55: name] :
( ( ~ ( fresh_name_pi @ SV55 @ SV104 )
| ( ( subs @ ( subs @ SV104 @ SV143 @ SV55 ) @ SV55 @ SV169 )
= ( subs @ SV104 @ SV143 @ SV169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(751,plain,
! [SV145: pi,SV107: pi,SV59: name,SV6: name] :
( ( late_transitions @ ( output @ SV6 @ SV59 @ SV107 ) @ ( late_FreeR @ late_TauR @ SV145 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(752,plain,
! [SV170: pi,SV146: late_freeRes,SV108: pi,SV60: name,SV7: name] :
( ( ~ ( late_transitions @ ( input @ SV7 @ SV60 @ SV108 ) @ ( late_FreeR @ SV146 @ SV170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(753,plain,
! [SV14: $o] :
( ( ( SV14
| $true )
= $false )
| ( ( ~ ( ~ SV14
| ~ $true ) )
= $true )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(754,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false ) )
= $true )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(755,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(756,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(757,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(758,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(759,plain,
! [SV15: late_freeRes] :
( ( ( SV15
!= ( late_OutputR @ ( sK1_SY213 @ SV15 ) @ ( sK2_SY454 @ SV15 ) ) )
= $false )
| ( ( SV15 = late_TauR )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[712]) ).
thf(760,plain,
! [SV171: pi,SV148: pi,SV112: pi,SV65: name,SV16: name] :
( ( ( match @ SV16 @ SV65 @ SV112 )
!= ( par @ SV148 @ SV171 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(761,plain,
! [SV149: pi,SV113: name,SV66: pi,SV17: pi] :
( ( ( par @ SV17 @ SV66 )
= ( res @ SV113 @ SV149 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(762,plain,
! [SV172: pi,SV150: late_freeRes,SV114: pi,SV67: name,SV18: late_subject] :
( ( ( late_BoundR @ SV18 @ SV67 @ SV114 )
!= ( late_FreeR @ SV150 @ SV172 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(763,plain,
! [SV151: late_residual,SV115: pi,SV68: name,SV19: name] :
( ( ( ~ ( late_transitions @ ( match @ SV19 @ SV68 @ SV115 ) @ SV151 ) )
= $true )
| ( ( ~ ! [SY457: pi] :
( ~ ~ ( ( SV68 != SV19 )
| ( SV115 != SY457 ) )
| ~ ( late_transitions @ SY457 @ SV151 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(764,plain,
! [SV173: pi,SV152: pi,SV116: pi,SV69: name,SV20: name] :
( ( ( mismatch @ SV20 @ SV69 @ SV116 )
!= ( par @ SV152 @ SV173 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(765,plain,
! [SV153: name,SV117: name,SV70: late_residual,SV21: pi] :
( ( ( ~ ( late_transitions @ SV21 @ SV70 ) )
= $true )
| ( ( ~ ( ( SV117 != SV153 ) )
| ( late_transitions @ ( mismatch @ SV117 @ SV153 @ SV21 ) @ SV70 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(766,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
| ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[719]) ).
thf(767,plain,
! [SV119: name,SV72: late_residual,SV23: pi] :
( ( ( late_transitions @ SV23 @ SV72 )
= $false )
| ( ( late_transitions @ ( match @ SV119 @ SV119 @ SV23 ) @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(768,plain,
! [SV120: name,SV73: pi,SV24: name] :
( ( ( fresh_name_pi @ SV24 @ SV73 )
= $false )
| ( ( ( subs @ SV73 @ SV24 @ SV120 )
= SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(769,plain,
! [SV121: late_residual,SV74: pi,SV25: pi] :
( ( ( late_transitions @ ( sum @ SV25 @ SV74 ) @ SV121 )
= $false )
| ( ( ~ ~ ( late_transitions @ SV25 @ SV121 )
| ( late_transitions @ SV74 @ SV121 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(770,plain,
! [SV122: pi,SV75: name,SV26: name] :
( ( ( SV26 != SV75 )
= $false )
| ( ( fresh_name_pi @ SV26 @ ( subs @ SV122 @ SV26 @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(771,plain,
! [SV154: late_freeRes > pi > $o,SV123: pi,SV76: late_freeRes,SV27: pi] :
( ( ( ~ ( late_transitions @ ( tau @ SV27 ) @ ( late_FreeR @ SV76 @ SV123 ) ) )
= $true )
| ( ( ~ ( ( SV76 != late_TauR )
| ( SV27 != SV123 )
| ( SV154 @ late_TauR @ SV27 ) )
| ( SV154 @ SV76 @ SV123 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(772,plain,
! [SV155: pi,SV124: name,SV77: name,SV28: name] :
( ( ( ~ ( ( SV28 != SV77 ) ) )
= $true )
| ( ( ~ ( ( SV28 != SV124 ) )
| ( ( subs @ ( res @ SV28 @ SV155 ) @ SV77 @ SV124 )
= ( res @ SV28 @ ( subs @ SV155 @ SV77 @ SV124 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[726]) ).
thf(773,plain,
! [SV174: name > name > $o,SV156: late_residual,SV125: pi,SV78: name,SV29: name] :
( ( ~ ( late_transitions @ ( mismatch @ SV29 @ SV78 @ SV125 ) @ SV156 )
| ~ ( ~ ( late_transitions @ SV125 @ SV156 )
| ~ ( ( SV29 != SV78 ) )
| ( SV174 @ SV29 @ SV78 ) )
| ( SV174 @ SV29 @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(774,plain,
! [SV157: pi,SV126: pi,SV79: pi,SV30: pi] :
( ( ~ ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
| ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) )
| ~ ( ( ( par @ SV30 @ SV79 )
!= ( par @ SV126 @ SV157 ) )
| ~ ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[728]) ).
thf(775,plain,
! [SV157: pi,SV126: pi,SV79: pi,SV30: pi] :
( ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
= ( ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[728]) ).
thf(776,plain,
! [SV127: late_residual,SV81: pi,SV32: pi] :
( ( ( late_transitions @ ( sum @ SV32 @ SV81 ) @ SV127 )
= $false )
| ( ( ~ ~ ( late_transitions @ SV32 @ SV127 )
| ( late_transitions @ SV81 @ SV127 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(777,plain,
! [SV128: pi,SV82: late_residual,SV33: pi] :
( ( ( late_transitions @ SV33 @ SV82 )
= $false )
| ( ( late_transitions @ ( sum @ SV33 @ SV128 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(778,plain,
! [SV158: pi,SV129: pi,SV83: late_freeRes,SV34: pi] :
( ( ( ~ ( late_transitions @ SV34 @ ( late_FreeR @ SV83 @ SV129 ) ) )
= $true )
| ( ( late_transitions @ ( par @ SV158 @ SV34 ) @ ( late_FreeR @ SV83 @ ( par @ SV158 @ SV129 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(779,plain,
! [SV159: pi,SV131: pi,SV85: pi,SV36: pi] :
( ( ( sum @ SV36 @ SV85 )
= ( par @ SV131 @ SV159 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(780,plain,
! [SV160: name,SV132: name,SV86: pi,SV37: name] :
( ( ( ~ ( fresh_name_pi @ SV37 @ SV86 ) )
= $true )
| ( ( ~ ( ( SV37 != SV132 ) )
| ( fresh_name_pi @ SV37 @ ( subs @ SV86 @ SV160 @ SV132 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(781,plain,
! [SV88: late_freeRes,SV39: late_freeRes > $o] :
( ( ( ! [SY466: name] : ( SV39 @ ( late_OutputR @ ( sK3_SY278 @ SV88 @ SV39 ) @ SY466 ) ) )
= $false )
| ( ( ~ ( SV39 @ late_TauR )
| ( SV39 @ SV88 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[735]) ).
thf(782,plain,
! [SV161: late_residual,SV133: pi,SV89: name,SV40: name] :
( ( ( ~ ( late_transitions @ ( match @ SV40 @ SV89 @ SV133 ) @ SV161 ) )
= $true )
| ( ( SV40 = SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(783,plain,
! [SV90: late_residual,SV41: pi] :
( ( ( ! [SY384: pi] :
( ( ( bang @ SV41 )
!= ( bang @ SY384 ) )
| ~ ( late_transitions @ ( par @ SY384 @ ( bang @ SY384 ) ) @ SV90 ) ) )
= $false )
| ( ( late_transitions @ ( bang @ SV41 ) @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(784,plain,
! [SV175: pi,SV162: pi,SV134: pi,SV91: name,SV42: name] :
( ( ( input @ SV42 @ SV91 @ SV134 )
!= ( par @ SV162 @ SV175 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(785,plain,
! [SV135: pi,SV92: late_residual,SV43: pi] :
( ( ( late_transitions @ SV43 @ SV92 )
= $false )
| ( ( late_transitions @ ( sum @ SV135 @ SV43 ) @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(786,plain,
! [SV95: late_residual,SV46: late_residual > $o] :
( ( ( ! [SY467: name,SY468: pi] : ( SV46 @ ( late_BoundR @ ( sK4_SY295 @ SV95 @ SV46 ) @ SY467 @ SY468 ) ) )
= $false )
| ( ( ~ ! [SY298: late_freeRes,SY299: pi] : ( SV46 @ ( late_FreeR @ SY298 @ SY299 ) )
| ( SV46 @ SV95 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[742]) ).
thf(787,plain,
! [SV176: pi,SV163: pi,SV137: pi,SV96: name,SV47: name] :
( ( ( output @ SV47 @ SV96 @ SV137 )
!= ( par @ SV163 @ SV176 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(788,plain,
! [SV177: name > name > $o,SV164: late_residual,SV138: pi,SV98: name,SV49: name] :
( ( ~ ( late_transitions @ ( match @ SV49 @ SV98 @ SV138 ) @ SV164 )
| ~ ( ~ ( late_transitions @ SV138 @ SV164 )
| ( SV49 != SV98 )
| ( SV177 @ SV49 @ SV49 ) )
| ( SV177 @ SV49 @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(789,plain,
! [SV165: pi,SV139: late_freeRes,SV99: pi,SV50: late_freeRes] :
( ( ~ ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
| ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) )
| ~ ( ( ( late_FreeR @ SV50 @ SV99 )
!= ( late_FreeR @ SV139 @ SV165 ) )
| ~ ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[745]) ).
thf(790,plain,
! [SV165: pi,SV139: late_freeRes,SV99: pi,SV50: late_freeRes] :
( ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
= ( ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[745]) ).
thf(791,plain,
! [SV166: pi,SV140: pi,SV100: late_freeRes,SV51: pi] :
( ( ( ~ ( late_transitions @ SV51 @ ( late_FreeR @ SV100 @ SV140 ) ) )
= $true )
| ( ( late_transitions @ ( par @ SV51 @ SV166 ) @ ( late_FreeR @ SV100 @ ( par @ SV140 @ SV166 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(792,plain,
! [SV167: name,SV141: pi,SV101: late_freeRes,SV52: pi] :
( ( ( ~ ( late_transitions @ SV52 @ ( late_FreeR @ SV101 @ SV141 ) ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV167 @ SV52 )
| ( fresh_name_pi @ SV167 @ SV141 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[747]) ).
thf(793,plain,
! [SV102: late_residual,SV53: pi] :
( ( ( ! [SY407: pi] :
( ( ( tau @ SV53 )
!= ( tau @ SY407 ) )
| ( SV102
!= ( late_FreeR @ late_TauR @ SY407 ) ) ) )
= $false )
| ( ( late_transitions @ ( tau @ SV53 ) @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(794,plain,
! [SV168: late_residual,SV142: pi,SV103: name,SV54: name] :
( ( ( ~ ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 ) )
= $true )
| ( ( ~ ! [SY463: pi,SY464: name,SY465: name] :
( ~ ~ ( ~ ~ ( ( SV54 != SY464 )
| ( SV103 != SY465 ) )
| ( SV142 != SY463 ) )
| ~ ( late_transitions @ SY463 @ SV168 )
| ( SY464 = SY465 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(795,plain,
! [SV169: name,SV143: name,SV104: pi,SV55: name] :
( ( ( ~ ( fresh_name_pi @ SV55 @ SV104 ) )
= $true )
| ( ( ( subs @ ( subs @ SV104 @ SV143 @ SV55 ) @ SV55 @ SV169 )
= ( subs @ SV104 @ SV143 @ SV169 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[750]) ).
thf(796,plain,
! [SV170: pi,SV146: late_freeRes,SV108: pi,SV60: name,SV7: name] :
( ( late_transitions @ ( input @ SV7 @ SV60 @ SV108 ) @ ( late_FreeR @ SV146 @ SV170 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(797,plain,
! [SV14: $o] :
( ( SV14 = $false )
| ( ( ~ ( ~ SV14
| ~ $true ) )
= $true )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(798,plain,
! [SV14: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV14
| ~ $true ) )
= $true )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(799,plain,
! [SV14: $o] :
( ( ( SV14
| $false )
= $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(800,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(801,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(802,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(803,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(804,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(805,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(806,plain,
! [SV15: late_freeRes] :
( ( ( SV15
= ( late_OutputR @ ( sK1_SY213 @ SV15 ) @ ( sK2_SY454 @ SV15 ) ) )
= $true )
| ( ( SV15 = late_TauR )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[759]) ).
thf(807,plain,
! [SV171: pi,SV148: pi,SV112: pi,SV65: name,SV16: name] :
( ( ( match @ SV16 @ SV65 @ SV112 )
= ( par @ SV148 @ SV171 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(808,plain,
! [SV172: pi,SV150: late_freeRes,SV114: pi,SV67: name,SV18: late_subject] :
( ( ( late_BoundR @ SV18 @ SV67 @ SV114 )
= ( late_FreeR @ SV150 @ SV172 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(809,plain,
! [SV151: late_residual,SV115: pi,SV68: name,SV19: name] :
( ( ( late_transitions @ ( match @ SV19 @ SV68 @ SV115 ) @ SV151 )
= $false )
| ( ( ~ ! [SY457: pi] :
( ~ ~ ( ( SV68 != SV19 )
| ( SV115 != SY457 ) )
| ~ ( late_transitions @ SY457 @ SV151 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(810,plain,
! [SV173: pi,SV152: pi,SV116: pi,SV69: name,SV20: name] :
( ( ( mismatch @ SV20 @ SV69 @ SV116 )
= ( par @ SV152 @ SV173 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(811,plain,
! [SV153: name,SV117: name,SV70: late_residual,SV21: pi] :
( ( ( late_transitions @ SV21 @ SV70 )
= $false )
| ( ( ~ ( ( SV117 != SV153 ) )
| ( late_transitions @ ( mismatch @ SV117 @ SV153 @ SV21 ) @ SV70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(812,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
| ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(813,plain,
! [SV74: pi,SV121: late_residual,SV25: pi] :
( ( ( ~ ~ ( late_transitions @ SV25 @ SV121 ) )
= $true )
| ( ( late_transitions @ SV74 @ SV121 )
= $true )
| ( ( late_transitions @ ( sum @ SV25 @ SV74 ) @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(814,plain,
! [SV122: pi,SV75: name,SV26: name] :
( ( ( SV26 = SV75 )
= $true )
| ( ( fresh_name_pi @ SV26 @ ( subs @ SV122 @ SV26 @ SV75 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[770]) ).
thf(815,plain,
! [SV154: late_freeRes > pi > $o,SV123: pi,SV76: late_freeRes,SV27: pi] :
( ( ( late_transitions @ ( tau @ SV27 ) @ ( late_FreeR @ SV76 @ SV123 ) )
= $false )
| ( ( ~ ( ( SV76 != late_TauR )
| ( SV27 != SV123 )
| ( SV154 @ late_TauR @ SV27 ) )
| ( SV154 @ SV76 @ SV123 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(816,plain,
! [SV155: pi,SV124: name,SV77: name,SV28: name] :
( ( ( SV28 != SV77 )
= $false )
| ( ( ~ ( ( SV28 != SV124 ) )
| ( ( subs @ ( res @ SV28 @ SV155 ) @ SV77 @ SV124 )
= ( res @ SV28 @ ( subs @ SV155 @ SV77 @ SV124 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(817,plain,
! [SV174: name > name > $o,SV156: late_residual,SV125: pi,SV78: name,SV29: name] :
( ( ( ~ ( late_transitions @ ( mismatch @ SV29 @ SV78 @ SV125 ) @ SV156 ) )
= $true )
| ( ( ~ ( ~ ( late_transitions @ SV125 @ SV156 )
| ~ ( ( SV29 != SV78 ) )
| ( SV174 @ SV29 @ SV78 ) )
| ( SV174 @ SV29 @ SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(818,plain,
! [SV157: pi,SV126: pi,SV79: pi,SV30: pi] :
( ( ( ~ ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
| ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) ) )
= $true )
| ( ( ~ ( ( ( par @ SV30 @ SV79 )
!= ( par @ SV126 @ SV157 ) )
| ~ ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(819,plain,
! [SV81: pi,SV127: late_residual,SV32: pi] :
( ( ( ~ ~ ( late_transitions @ SV32 @ SV127 ) )
= $true )
| ( ( late_transitions @ SV81 @ SV127 )
= $true )
| ( ( late_transitions @ ( sum @ SV32 @ SV81 ) @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[776]) ).
thf(820,plain,
! [SV158: pi,SV129: pi,SV83: late_freeRes,SV34: pi] :
( ( ( late_transitions @ SV34 @ ( late_FreeR @ SV83 @ SV129 ) )
= $false )
| ( ( late_transitions @ ( par @ SV158 @ SV34 ) @ ( late_FreeR @ SV83 @ ( par @ SV158 @ SV129 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(821,plain,
! [SV160: name,SV132: name,SV86: pi,SV37: name] :
( ( ( fresh_name_pi @ SV37 @ SV86 )
= $false )
| ( ( ~ ( ( SV37 != SV132 ) )
| ( fresh_name_pi @ SV37 @ ( subs @ SV86 @ SV160 @ SV132 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(822,plain,
! [SV88: late_freeRes,SV39: late_freeRes > $o] :
( ( ( SV39 @ ( late_OutputR @ ( sK3_SY278 @ SV88 @ SV39 ) @ ( sK5_SY466 @ SV88 @ SV39 ) ) )
= $false )
| ( ( ~ ( SV39 @ late_TauR )
| ( SV39 @ SV88 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[781]) ).
thf(823,plain,
! [SV161: late_residual,SV133: pi,SV89: name,SV40: name] :
( ( ( late_transitions @ ( match @ SV40 @ SV89 @ SV133 ) @ SV161 )
= $false )
| ( ( SV40 = SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(824,plain,
! [SV90: late_residual,SV41: pi] :
( ( ( ( ( bang @ SV41 )
!= ( bang @ ( sK6_SY384 @ SV90 @ SV41 ) ) )
| ~ ( late_transitions @ ( par @ ( sK6_SY384 @ SV90 @ SV41 ) @ ( bang @ ( sK6_SY384 @ SV90 @ SV41 ) ) ) @ SV90 ) )
= $false )
| ( ( late_transitions @ ( bang @ SV41 ) @ SV90 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[783]) ).
thf(825,plain,
! [SV175: pi,SV162: pi,SV134: pi,SV91: name,SV42: name] :
( ( ( input @ SV42 @ SV91 @ SV134 )
= ( par @ SV162 @ SV175 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(826,plain,
! [SV95: late_residual,SV46: late_residual > $o] :
( ( ( ! [SY469: pi] : ( SV46 @ ( late_BoundR @ ( sK4_SY295 @ SV95 @ SV46 ) @ ( sK7_SY467 @ SV95 @ SV46 ) @ SY469 ) ) )
= $false )
| ( ( ~ ! [SY298: late_freeRes,SY299: pi] : ( SV46 @ ( late_FreeR @ SY298 @ SY299 ) )
| ( SV46 @ SV95 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[786]) ).
thf(827,plain,
! [SV176: pi,SV163: pi,SV137: pi,SV96: name,SV47: name] :
( ( ( output @ SV47 @ SV96 @ SV137 )
= ( par @ SV163 @ SV176 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(828,plain,
! [SV177: name > name > $o,SV164: late_residual,SV138: pi,SV98: name,SV49: name] :
( ( ( ~ ( late_transitions @ ( match @ SV49 @ SV98 @ SV138 ) @ SV164 ) )
= $true )
| ( ( ~ ( ~ ( late_transitions @ SV138 @ SV164 )
| ( SV49 != SV98 )
| ( SV177 @ SV49 @ SV49 ) )
| ( SV177 @ SV49 @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[788]) ).
thf(829,plain,
! [SV165: pi,SV139: late_freeRes,SV99: pi,SV50: late_freeRes] :
( ( ( ~ ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
| ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) ) )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV50 @ SV99 )
!= ( late_FreeR @ SV139 @ SV165 ) )
| ~ ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(830,plain,
! [SV166: pi,SV140: pi,SV100: late_freeRes,SV51: pi] :
( ( ( late_transitions @ SV51 @ ( late_FreeR @ SV100 @ SV140 ) )
= $false )
| ( ( late_transitions @ ( par @ SV51 @ SV166 ) @ ( late_FreeR @ SV100 @ ( par @ SV140 @ SV166 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(831,plain,
! [SV167: name,SV141: pi,SV101: late_freeRes,SV52: pi] :
( ( ( late_transitions @ SV52 @ ( late_FreeR @ SV101 @ SV141 ) )
= $false )
| ( ( ~ ( fresh_name_pi @ SV167 @ SV52 )
| ( fresh_name_pi @ SV167 @ SV141 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(832,plain,
! [SV102: late_residual,SV53: pi] :
( ( ( ( ( tau @ SV53 )
!= ( tau @ ( sK8_SY407 @ SV102 @ SV53 ) ) )
| ( SV102
!= ( late_FreeR @ late_TauR @ ( sK8_SY407 @ SV102 @ SV53 ) ) ) )
= $false )
| ( ( late_transitions @ ( tau @ SV53 ) @ SV102 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[793]) ).
thf(833,plain,
! [SV168: late_residual,SV142: pi,SV103: name,SV54: name] :
( ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false )
| ( ( ~ ! [SY463: pi,SY464: name,SY465: name] :
( ~ ~ ( ~ ~ ( ( SV54 != SY464 )
| ( SV103 != SY465 ) )
| ( SV142 != SY463 ) )
| ~ ( late_transitions @ SY463 @ SV168 )
| ( SY464 = SY465 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(834,plain,
! [SV169: name,SV143: name,SV104: pi,SV55: name] :
( ( ( fresh_name_pi @ SV55 @ SV104 )
= $false )
| ( ( ( subs @ ( subs @ SV104 @ SV143 @ SV55 ) @ SV55 @ SV169 )
= ( subs @ SV104 @ SV143 @ SV169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(835,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $true )
= $false )
| ( SV14 = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(836,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(837,plain,
! [SV14: $o] :
( ( SV14 = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(838,plain,
! [SV14: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(839,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(840,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(841,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[802]) ).
thf(842,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[802]) ).
thf(843,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(844,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(845,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[805]) ).
thf(846,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[805]) ).
thf(847,plain,
! [SV151: late_residual,SV115: pi,SV19: name,SV68: name] :
( ( ( ! [SY457: pi] :
( ~ ~ ( ( SV68 != SV19 )
| ( SV115 != SY457 ) )
| ~ ( late_transitions @ SY457 @ SV151 ) ) )
= $false )
| ( ( late_transitions @ ( match @ SV19 @ SV68 @ SV115 ) @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(848,plain,
! [SV70: late_residual,SV21: pi,SV153: name,SV117: name] :
( ( ( ~ ( ( SV117 != SV153 ) ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV117 @ SV153 @ SV21 ) @ SV70 )
= $true )
| ( ( late_transitions @ SV21 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(849,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[812]) ).
thf(850,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[812]) ).
thf(851,plain,
! [SV74: pi,SV121: late_residual,SV25: pi] :
( ( ( ~ ( late_transitions @ SV25 @ SV121 ) )
= $false )
| ( ( late_transitions @ SV74 @ SV121 )
= $true )
| ( ( late_transitions @ ( sum @ SV25 @ SV74 ) @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(852,plain,
! [SV154: late_freeRes > pi > $o,SV123: pi,SV27: pi,SV76: late_freeRes] :
( ( ( ~ ( ( SV76 != late_TauR )
| ( SV27 != SV123 )
| ( SV154 @ late_TauR @ SV27 ) ) )
= $true )
| ( ( SV154 @ SV76 @ SV123 )
= $true )
| ( ( late_transitions @ ( tau @ SV27 ) @ ( late_FreeR @ SV76 @ SV123 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[815]) ).
thf(853,plain,
! [SV155: pi,SV124: name,SV77: name,SV28: name] :
( ( ( SV28 = SV77 )
= $true )
| ( ( ~ ( ( SV28 != SV124 ) )
| ( ( subs @ ( res @ SV28 @ SV155 ) @ SV77 @ SV124 )
= ( res @ SV28 @ ( subs @ SV155 @ SV77 @ SV124 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(854,plain,
! [SV174: name > name > $o,SV156: late_residual,SV125: pi,SV78: name,SV29: name] :
( ( ( late_transitions @ ( mismatch @ SV29 @ SV78 @ SV125 ) @ SV156 )
= $false )
| ( ( ~ ( ~ ( late_transitions @ SV125 @ SV156 )
| ~ ( ( SV29 != SV78 ) )
| ( SV174 @ SV29 @ SV78 ) )
| ( SV174 @ SV29 @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(855,plain,
! [SV157: pi,SV126: pi,SV79: pi,SV30: pi] :
( ( ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
| ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) )
= $false )
| ( ( ~ ( ( ( par @ SV30 @ SV79 )
!= ( par @ SV126 @ SV157 ) )
| ~ ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(856,plain,
! [SV81: pi,SV127: late_residual,SV32: pi] :
( ( ( ~ ( late_transitions @ SV32 @ SV127 ) )
= $false )
| ( ( late_transitions @ SV81 @ SV127 )
= $true )
| ( ( late_transitions @ ( sum @ SV32 @ SV81 ) @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(857,plain,
! [SV160: name,SV86: pi,SV132: name,SV37: name] :
( ( ( ~ ( ( SV37 != SV132 ) ) )
= $true )
| ( ( fresh_name_pi @ SV37 @ ( subs @ SV86 @ SV160 @ SV132 ) )
= $true )
| ( ( fresh_name_pi @ SV37 @ SV86 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(858,plain,
! [SV88: late_freeRes,SV39: late_freeRes > $o] :
( ( ( ~ ( SV39 @ late_TauR ) )
= $true )
| ( ( SV39 @ SV88 )
= $true )
| ( ( SV39 @ ( late_OutputR @ ( sK3_SY278 @ SV88 @ SV39 ) @ ( sK5_SY466 @ SV88 @ SV39 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[822]) ).
thf(859,plain,
! [SV90: late_residual,SV41: pi] :
( ( ( ( bang @ SV41 )
!= ( bang @ ( sK6_SY384 @ SV90 @ SV41 ) ) )
= $false )
| ( ( late_transitions @ ( bang @ SV41 ) @ SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[824]) ).
thf(860,plain,
! [SV41: pi,SV90: late_residual] :
( ( ( ~ ( late_transitions @ ( par @ ( sK6_SY384 @ SV90 @ SV41 ) @ ( bang @ ( sK6_SY384 @ SV90 @ SV41 ) ) ) @ SV90 ) )
= $false )
| ( ( late_transitions @ ( bang @ SV41 ) @ SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[824]) ).
thf(861,plain,
! [SV95: late_residual,SV46: late_residual > $o] :
( ( ( SV46 @ ( late_BoundR @ ( sK4_SY295 @ SV95 @ SV46 ) @ ( sK7_SY467 @ SV95 @ SV46 ) @ ( sK9_SY469 @ SV95 @ SV46 ) ) )
= $false )
| ( ( ~ ! [SY298: late_freeRes,SY299: pi] : ( SV46 @ ( late_FreeR @ SY298 @ SY299 ) )
| ( SV46 @ SV95 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[826]) ).
thf(862,plain,
! [SV177: name > name > $o,SV164: late_residual,SV138: pi,SV98: name,SV49: name] :
( ( ( late_transitions @ ( match @ SV49 @ SV98 @ SV138 ) @ SV164 )
= $false )
| ( ( ~ ( ~ ( late_transitions @ SV138 @ SV164 )
| ( SV49 != SV98 )
| ( SV177 @ SV49 @ SV49 ) )
| ( SV177 @ SV49 @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(863,plain,
! [SV165: pi,SV139: late_freeRes,SV99: pi,SV50: late_freeRes] :
( ( ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
| ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV50 @ SV99 )
!= ( late_FreeR @ SV139 @ SV165 ) )
| ~ ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(864,plain,
! [SV101: late_freeRes,SV141: pi,SV52: pi,SV167: name] :
( ( ( ~ ( fresh_name_pi @ SV167 @ SV52 ) )
= $true )
| ( ( fresh_name_pi @ SV167 @ SV141 )
= $true )
| ( ( late_transitions @ SV52 @ ( late_FreeR @ SV101 @ SV141 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(865,plain,
! [SV102: late_residual,SV53: pi] :
( ( ( ( tau @ SV53 )
!= ( tau @ ( sK8_SY407 @ SV102 @ SV53 ) ) )
= $false )
| ( ( late_transitions @ ( tau @ SV53 ) @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(866,plain,
! [SV53: pi,SV102: late_residual] :
( ( ( SV102
!= ( late_FreeR @ late_TauR @ ( sK8_SY407 @ SV102 @ SV53 ) ) )
= $false )
| ( ( late_transitions @ ( tau @ SV53 ) @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(867,plain,
! [SV168: late_residual,SV142: pi,SV103: name,SV54: name] :
( ( ( ! [SY463: pi,SY464: name,SY465: name] :
( ~ ~ ( ~ ~ ( ( SV54 != SY464 )
| ( SV103 != SY465 ) )
| ( SV142 != SY463 ) )
| ~ ( late_transitions @ SY463 @ SV168 )
| ( SY464 = SY465 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(868,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( SV14 = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(869,plain,
! [SV14: $o] :
( ( ( ~ $true ) = $false )
| ( SV14 = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(870,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( $true = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(871,plain,
! [SV14: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(872,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( SV14 = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(873,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(874,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(875,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(876,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[840]) ).
thf(877,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[840]) ).
thf(878,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(879,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(880,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[843]) ).
thf(881,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[843]) ).
thf(882,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(883,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(884,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(885,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(886,plain,
! [SV151: late_residual,SV115: pi,SV19: name,SV68: name] :
( ( ( ~ ~ ( ( SV68 != SV19 )
| ( SV115
!= ( sK10_SY457 @ SV151 @ SV115 @ SV19 @ SV68 ) ) )
| ~ ( late_transitions @ ( sK10_SY457 @ SV151 @ SV115 @ SV19 @ SV68 ) @ SV151 ) )
= $false )
| ( ( late_transitions @ ( match @ SV19 @ SV68 @ SV115 ) @ SV151 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[847]) ).
thf(887,plain,
! [SV70: late_residual,SV21: pi,SV153: name,SV117: name] :
( ( ( SV117 != SV153 )
= $false )
| ( ( late_transitions @ ( mismatch @ SV117 @ SV153 @ SV21 ) @ SV70 )
= $true )
| ( ( late_transitions @ SV21 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(888,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) )
= $false )
| ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(889,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[850]) ).
thf(890,plain,
! [SV74: pi,SV121: late_residual,SV25: pi] :
( ( ( late_transitions @ SV25 @ SV121 )
= $true )
| ( ( late_transitions @ SV74 @ SV121 )
= $true )
| ( ( late_transitions @ ( sum @ SV25 @ SV74 ) @ SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[851]) ).
thf(891,plain,
! [SV154: late_freeRes > pi > $o,SV123: pi,SV27: pi,SV76: late_freeRes] :
( ( ( ( SV76 != late_TauR )
| ( SV27 != SV123 )
| ( SV154 @ late_TauR @ SV27 ) )
= $false )
| ( ( SV154 @ SV76 @ SV123 )
= $true )
| ( ( late_transitions @ ( tau @ SV27 ) @ ( late_FreeR @ SV76 @ SV123 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(892,plain,
! [SV77: name,SV155: pi,SV124: name,SV28: name] :
( ( ( ~ ( ( SV28 != SV124 ) ) )
= $true )
| ( ( ( subs @ ( res @ SV28 @ SV155 ) @ SV77 @ SV124 )
= ( res @ SV28 @ ( subs @ SV155 @ SV77 @ SV124 ) ) )
= $true )
| ( ( SV28 = SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(893,plain,
! [SV174: name > name > $o,SV78: name,SV29: name,SV156: late_residual,SV125: pi] :
( ( ( ~ ( ~ ( late_transitions @ SV125 @ SV156 )
| ~ ( ( SV29 != SV78 ) )
| ( SV174 @ SV29 @ SV78 ) ) )
= $true )
| ( ( SV174 @ SV29 @ SV78 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV29 @ SV78 @ SV125 ) @ SV156 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(894,plain,
! [SV157: pi,SV126: pi,SV79: pi,SV30: pi] :
( ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
= $false )
| ( ( ~ ( ( ( par @ SV30 @ SV79 )
!= ( par @ SV126 @ SV157 ) )
| ~ ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[855]) ).
thf(895,plain,
! [SV157: pi,SV79: pi,SV126: pi,SV30: pi] :
( ( ( ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) )
= $false )
| ( ( ~ ( ( ( par @ SV30 @ SV79 )
!= ( par @ SV126 @ SV157 ) )
| ~ ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[855]) ).
thf(896,plain,
! [SV81: pi,SV127: late_residual,SV32: pi] :
( ( ( late_transitions @ SV32 @ SV127 )
= $true )
| ( ( late_transitions @ SV81 @ SV127 )
= $true )
| ( ( late_transitions @ ( sum @ SV32 @ SV81 ) @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[856]) ).
thf(897,plain,
! [SV160: name,SV86: pi,SV132: name,SV37: name] :
( ( ( SV37 != SV132 )
= $false )
| ( ( fresh_name_pi @ SV37 @ ( subs @ SV86 @ SV160 @ SV132 ) )
= $true )
| ( ( fresh_name_pi @ SV37 @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(898,plain,
! [SV88: late_freeRes,SV39: late_freeRes > $o] :
( ( ( SV39 @ late_TauR )
= $false )
| ( ( SV39 @ SV88 )
= $true )
| ( ( SV39 @ ( late_OutputR @ ( sK3_SY278 @ SV88 @ SV39 ) @ ( sK5_SY466 @ SV88 @ SV39 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(899,plain,
! [SV90: late_residual,SV41: pi] :
( ( ( ( bang @ SV41 )
= ( bang @ ( sK6_SY384 @ SV90 @ SV41 ) ) )
= $true )
| ( ( late_transitions @ ( bang @ SV41 ) @ SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[859]) ).
thf(900,plain,
! [SV41: pi,SV90: late_residual] :
( ( ( late_transitions @ ( par @ ( sK6_SY384 @ SV90 @ SV41 ) @ ( bang @ ( sK6_SY384 @ SV90 @ SV41 ) ) ) @ SV90 )
= $true )
| ( ( late_transitions @ ( bang @ SV41 ) @ SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(901,plain,
! [SV95: late_residual,SV46: late_residual > $o] :
( ( ( ~ ! [SY298: late_freeRes,SY299: pi] : ( SV46 @ ( late_FreeR @ SY298 @ SY299 ) ) )
= $true )
| ( ( SV46 @ SV95 )
= $true )
| ( ( SV46 @ ( late_BoundR @ ( sK4_SY295 @ SV95 @ SV46 ) @ ( sK7_SY467 @ SV95 @ SV46 ) @ ( sK9_SY469 @ SV95 @ SV46 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[861]) ).
thf(902,plain,
! [SV177: name > name > $o,SV98: name,SV49: name,SV164: late_residual,SV138: pi] :
( ( ( ~ ( ~ ( late_transitions @ SV138 @ SV164 )
| ( SV49 != SV98 )
| ( SV177 @ SV49 @ SV49 ) ) )
= $true )
| ( ( SV177 @ SV49 @ SV98 )
= $true )
| ( ( late_transitions @ ( match @ SV49 @ SV98 @ SV138 ) @ SV164 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(903,plain,
! [SV165: pi,SV139: late_freeRes,SV99: pi,SV50: late_freeRes] :
( ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV50 @ SV99 )
!= ( late_FreeR @ SV139 @ SV165 ) )
| ~ ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[863]) ).
thf(904,plain,
! [SV165: pi,SV99: pi,SV139: late_freeRes,SV50: late_freeRes] :
( ( ( ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV50 @ SV99 )
!= ( late_FreeR @ SV139 @ SV165 ) )
| ~ ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[863]) ).
thf(905,plain,
! [SV101: late_freeRes,SV141: pi,SV52: pi,SV167: name] :
( ( ( fresh_name_pi @ SV167 @ SV52 )
= $false )
| ( ( fresh_name_pi @ SV167 @ SV141 )
= $true )
| ( ( late_transitions @ SV52 @ ( late_FreeR @ SV101 @ SV141 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(906,plain,
! [SV102: late_residual,SV53: pi] :
( ( ( ( tau @ SV53 )
= ( tau @ ( sK8_SY407 @ SV102 @ SV53 ) ) )
= $true )
| ( ( late_transitions @ ( tau @ SV53 ) @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[865]) ).
thf(907,plain,
! [SV53: pi,SV102: late_residual] :
( ( ( SV102
= ( late_FreeR @ late_TauR @ ( sK8_SY407 @ SV102 @ SV53 ) ) )
= $true )
| ( ( late_transitions @ ( tau @ SV53 ) @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[866]) ).
thf(908,plain,
! [SV168: late_residual,SV142: pi,SV103: name,SV54: name] :
( ( ( ! [SY470: name,SY471: name] :
( ~ ~ ( ~ ~ ( ( SV54 != SY470 )
| ( SV103 != SY471 ) )
| ( SV142
!= ( sK11_SY463 @ SV168 @ SV142 @ SV103 @ SV54 ) ) )
| ~ ( late_transitions @ ( sK11_SY463 @ SV168 @ SV142 @ SV103 @ SV54 ) @ SV168 )
| ( SY470 = SY471 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[867]) ).
thf(909,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( SV14 = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[868]) ).
thf(910,plain,
! [SV14: $o] :
( ( $true = $true )
| ( SV14 = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[869]) ).
thf(911,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( $true = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[870]) ).
thf(912,plain,
! [SV14: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[871]) ).
thf(913,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( SV14 = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[872]) ).
thf(914,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( SV14 = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[872]) ).
thf(915,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( $false = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[873]) ).
thf(916,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[873]) ).
thf(917,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[874]) ).
thf(918,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[875]) ).
thf(919,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[876]) ).
thf(920,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[877]) ).
thf(921,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[878]) ).
thf(922,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[878]) ).
thf(923,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[879]) ).
thf(924,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[879]) ).
thf(925,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[880]) ).
thf(926,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[881]) ).
thf(927,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[882]) ).
thf(928,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[883]) ).
thf(929,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(930,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(931,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(932,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(933,plain,
! [SV151: late_residual,SV115: pi,SV19: name,SV68: name] :
( ( ( ~ ~ ( ( SV68 != SV19 )
| ( SV115
!= ( sK10_SY457 @ SV151 @ SV115 @ SV19 @ SV68 ) ) ) )
= $false )
| ( ( late_transitions @ ( match @ SV19 @ SV68 @ SV115 ) @ SV151 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[886]) ).
thf(934,plain,
! [SV68: name,SV19: name,SV115: pi,SV151: late_residual] :
( ( ( ~ ( late_transitions @ ( sK10_SY457 @ SV151 @ SV115 @ SV19 @ SV68 ) @ SV151 ) )
= $false )
| ( ( late_transitions @ ( match @ SV19 @ SV68 @ SV115 ) @ SV151 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[886]) ).
thf(935,plain,
! [SV70: late_residual,SV21: pi,SV153: name,SV117: name] :
( ( ( SV117 = SV153 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV117 @ SV153 @ SV21 ) @ SV70 )
= $true )
| ( ( late_transitions @ SV21 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[887]) ).
thf(936,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) ) )
= $false )
| ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[888]) ).
thf(937,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) )
= $false )
| ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[888]) ).
thf(938,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ( fresh_name_pi @ SV22 @ SV71 ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV22 @ SV118 ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[889]) ).
thf(939,plain,
! [SV27: pi,SV123: pi,SV154: late_freeRes > pi > $o,SV76: late_freeRes] :
( ( ( SV76 != late_TauR )
= $false )
| ( ( SV154 @ SV76 @ SV123 )
= $true )
| ( ( late_transitions @ ( tau @ SV27 ) @ ( late_FreeR @ SV76 @ SV123 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(940,plain,
! [SV76: late_freeRes,SV154: late_freeRes > pi > $o,SV123: pi,SV27: pi] :
( ( ( ( SV27 != SV123 )
| ( SV154 @ late_TauR @ SV27 ) )
= $false )
| ( ( SV154 @ SV76 @ SV123 )
= $true )
| ( ( late_transitions @ ( tau @ SV27 ) @ ( late_FreeR @ SV76 @ SV123 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(941,plain,
! [SV77: name,SV155: pi,SV124: name,SV28: name] :
( ( ( SV28 != SV124 )
= $false )
| ( ( ( subs @ ( res @ SV28 @ SV155 ) @ SV77 @ SV124 )
= ( res @ SV28 @ ( subs @ SV155 @ SV77 @ SV124 ) ) )
= $true )
| ( ( SV28 = SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(942,plain,
! [SV174: name > name > $o,SV78: name,SV29: name,SV156: late_residual,SV125: pi] :
( ( ( ~ ( late_transitions @ SV125 @ SV156 )
| ~ ( ( SV29 != SV78 ) )
| ( SV174 @ SV29 @ SV78 ) )
= $false )
| ( ( SV174 @ SV29 @ SV78 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV29 @ SV78 @ SV125 ) @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(943,plain,
! [SV157: pi,SV126: pi,SV79: pi,SV30: pi] :
( ( ( ( ( par @ SV30 @ SV79 )
!= ( par @ SV126 @ SV157 ) )
| ~ ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) )
= $false )
| ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(944,plain,
! [SV157: pi,SV79: pi,SV126: pi,SV30: pi] :
( ( ( ( SV30 != SV126 )
| ( SV79 != SV157 ) )
= $true )
| ( ( ~ ( ( ( par @ SV30 @ SV79 )
!= ( par @ SV126 @ SV157 ) )
| ~ ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[895]) ).
thf(945,plain,
! [SV160: name,SV86: pi,SV132: name,SV37: name] :
( ( ( SV37 = SV132 )
= $true )
| ( ( fresh_name_pi @ SV37 @ ( subs @ SV86 @ SV160 @ SV132 ) )
= $true )
| ( ( fresh_name_pi @ SV37 @ SV86 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[897]) ).
thf(946,plain,
! [SV95: late_residual,SV46: late_residual > $o] :
( ( ( ! [SY298: late_freeRes,SY299: pi] : ( SV46 @ ( late_FreeR @ SY298 @ SY299 ) ) )
= $false )
| ( ( SV46 @ SV95 )
= $true )
| ( ( SV46 @ ( late_BoundR @ ( sK4_SY295 @ SV95 @ SV46 ) @ ( sK7_SY467 @ SV95 @ SV46 ) @ ( sK9_SY469 @ SV95 @ SV46 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(947,plain,
! [SV177: name > name > $o,SV98: name,SV49: name,SV164: late_residual,SV138: pi] :
( ( ( ~ ( late_transitions @ SV138 @ SV164 )
| ( SV49 != SV98 )
| ( SV177 @ SV49 @ SV49 ) )
= $false )
| ( ( SV177 @ SV49 @ SV98 )
= $true )
| ( ( late_transitions @ ( match @ SV49 @ SV98 @ SV138 ) @ SV164 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(948,plain,
! [SV165: pi,SV139: late_freeRes,SV99: pi,SV50: late_freeRes] :
( ( ( ( ( late_FreeR @ SV50 @ SV99 )
!= ( late_FreeR @ SV139 @ SV165 ) )
| ~ ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) )
= $false )
| ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(949,plain,
! [SV165: pi,SV99: pi,SV139: late_freeRes,SV50: late_freeRes] :
( ( ( ( SV50 != SV139 )
| ( SV99 != SV165 ) )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV50 @ SV99 )
!= ( late_FreeR @ SV139 @ SV165 ) )
| ~ ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[904]) ).
thf(950,plain,
! [SV103: name,SV142: pi,SV168: late_residual,SV54: name] :
( ( ( ! [SY472: name] :
( ~ ~ ( ~ ~ ( ( SV54
!= ( sK12_SY470 @ SV168 @ SV142 @ SV103 @ SV54 ) )
| ( SV103 != SY472 ) )
| ( SV142
!= ( sK11_SY463 @ SV168 @ SV142 @ SV103 @ SV54 ) ) )
| ~ ( late_transitions @ ( sK11_SY463 @ SV168 @ SV142 @ SV103 @ SV54 ) @ SV168 )
| ( ( sK12_SY470 @ SV168 @ SV142 @ SV103 @ SV54 )
= SY472 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[908]) ).
thf(951,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false )
| ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[909]) ).
thf(952,plain,
! [SV14: $o] :
( ( ( SV14 = $false )
= $true )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[909]) ).
thf(953,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false )
| ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[910]) ).
thf(954,plain,
! [SV14: $o] :
( ( ( SV14 = $false )
= $true )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[910]) ).
thf(955,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false )
| ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(956,plain,
! [SV14: $o] :
( ( ( SV14 = $false )
= $true )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(957,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false )
| ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[912]) ).
thf(958,plain,
! [SV14: $o] :
( ( ( SV14 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[912]) ).
thf(959,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( SV14 = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[913]) ).
thf(960,plain,
! [SV14: $o] :
( ( $false = $true )
| ( SV14 = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[914]) ).
thf(961,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( $false = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(962,plain,
! [SV14: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[916]) ).
thf(963,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[917]) ).
thf(964,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[917]) ).
thf(965,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[918]) ).
thf(966,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[918]) ).
thf(967,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[919]) ).
thf(968,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[919]) ).
thf(969,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[920]) ).
thf(970,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[920]) ).
thf(971,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[921]) ).
thf(972,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[922]) ).
thf(973,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[923]) ).
thf(974,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[924]) ).
thf(975,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[925]) ).
thf(976,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[925]) ).
thf(977,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[926]) ).
thf(978,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[926]) ).
thf(979,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[927]) ).
thf(980,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[927]) ).
thf(981,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[928]) ).
thf(982,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[928]) ).
thf(983,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[929]) ).
thf(984,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[930]) ).
thf(985,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[931]) ).
thf(986,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(987,plain,
! [SV151: late_residual,SV115: pi,SV19: name,SV68: name] :
( ( ( ~ ( ( SV68 != SV19 )
| ( SV115
!= ( sK10_SY457 @ SV151 @ SV115 @ SV19 @ SV68 ) ) ) )
= $true )
| ( ( late_transitions @ ( match @ SV19 @ SV68 @ SV115 ) @ SV151 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[933]) ).
thf(988,plain,
! [SV68: name,SV19: name,SV115: pi,SV151: late_residual] :
( ( ( late_transitions @ ( sK10_SY457 @ SV151 @ SV115 @ SV19 @ SV68 ) @ SV151 )
= $true )
| ( ( late_transitions @ ( match @ SV19 @ SV68 @ SV115 ) @ SV151 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[934]) ).
thf(989,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
= $true )
| ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[936]) ).
thf(990,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) )
= $true )
| ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[937]) ).
thf(991,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( fresh_name_pi @ SV22 @ SV71 )
= $false )
| ( ( ~ ( fresh_name_pi @ SV22 @ SV118 ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(992,plain,
! [SV27: pi,SV123: pi,SV154: late_freeRes > pi > $o,SV76: late_freeRes] :
( ( ( SV76 = late_TauR )
= $true )
| ( ( SV154 @ SV76 @ SV123 )
= $true )
| ( ( late_transitions @ ( tau @ SV27 ) @ ( late_FreeR @ SV76 @ SV123 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[939]) ).
thf(993,plain,
! [SV76: late_freeRes,SV154: late_freeRes > pi > $o,SV123: pi,SV27: pi] :
( ( ( SV27 != SV123 )
= $false )
| ( ( SV154 @ SV76 @ SV123 )
= $true )
| ( ( late_transitions @ ( tau @ SV27 ) @ ( late_FreeR @ SV76 @ SV123 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(994,plain,
! [SV123: pi,SV76: late_freeRes,SV27: pi,SV154: late_freeRes > pi > $o] :
( ( ( SV154 @ late_TauR @ SV27 )
= $false )
| ( ( SV154 @ SV76 @ SV123 )
= $true )
| ( ( late_transitions @ ( tau @ SV27 ) @ ( late_FreeR @ SV76 @ SV123 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(995,plain,
! [SV77: name,SV155: pi,SV124: name,SV28: name] :
( ( ( SV28 = SV124 )
= $true )
| ( ( ( subs @ ( res @ SV28 @ SV155 ) @ SV77 @ SV124 )
= ( res @ SV28 @ ( subs @ SV155 @ SV77 @ SV124 ) ) )
= $true )
| ( ( SV28 = SV77 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[941]) ).
thf(996,plain,
! [SV78: name,SV29: name,SV174: name > name > $o,SV156: late_residual,SV125: pi] :
( ( ( ~ ( late_transitions @ SV125 @ SV156 ) )
= $false )
| ( ( SV174 @ SV29 @ SV78 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV29 @ SV78 @ SV125 ) @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[942]) ).
thf(997,plain,
! [SV156: late_residual,SV125: pi,SV174: name > name > $o,SV78: name,SV29: name] :
( ( ( ~ ( ( SV29 != SV78 ) )
| ( SV174 @ SV29 @ SV78 ) )
= $false )
| ( ( SV174 @ SV29 @ SV78 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV29 @ SV78 @ SV125 ) @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[942]) ).
thf(998,plain,
! [SV157: pi,SV126: pi,SV79: pi,SV30: pi] :
( ( ( ( par @ SV30 @ SV79 )
!= ( par @ SV126 @ SV157 ) )
= $false )
| ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[943]) ).
thf(999,plain,
! [SV157: pi,SV79: pi,SV126: pi,SV30: pi] :
( ( ( ~ ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) )
= $false )
| ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[943]) ).
thf(1000,plain,
! [SV157: pi,SV79: pi,SV126: pi,SV30: pi] :
( ( ( SV30 != SV126 )
= $true )
| ( ( SV79 != SV157 )
= $true )
| ( ( ~ ( ( ( par @ SV30 @ SV79 )
!= ( par @ SV126 @ SV157 ) )
| ~ ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[944]) ).
thf(1001,plain,
! [SV95: late_residual,SV46: late_residual > $o] :
( ( ( ! [SY473: pi] : ( SV46 @ ( late_FreeR @ ( sK13_SY298 @ SV95 @ SV46 ) @ SY473 ) ) )
= $false )
| ( ( SV46 @ SV95 )
= $true )
| ( ( SV46 @ ( late_BoundR @ ( sK4_SY295 @ SV95 @ SV46 ) @ ( sK7_SY467 @ SV95 @ SV46 ) @ ( sK9_SY469 @ SV95 @ SV46 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[946]) ).
thf(1002,plain,
! [SV98: name,SV49: name,SV177: name > name > $o,SV164: late_residual,SV138: pi] :
( ( ( ~ ( late_transitions @ SV138 @ SV164 ) )
= $false )
| ( ( SV177 @ SV49 @ SV98 )
= $true )
| ( ( late_transitions @ ( match @ SV49 @ SV98 @ SV138 ) @ SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(1003,plain,
! [SV164: late_residual,SV138: pi,SV177: name > name > $o,SV98: name,SV49: name] :
( ( ( ( SV49 != SV98 )
| ( SV177 @ SV49 @ SV49 ) )
= $false )
| ( ( SV177 @ SV49 @ SV98 )
= $true )
| ( ( late_transitions @ ( match @ SV49 @ SV98 @ SV138 ) @ SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(1004,plain,
! [SV165: pi,SV139: late_freeRes,SV99: pi,SV50: late_freeRes] :
( ( ( ( late_FreeR @ SV50 @ SV99 )
!= ( late_FreeR @ SV139 @ SV165 ) )
= $false )
| ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(1005,plain,
! [SV165: pi,SV99: pi,SV139: late_freeRes,SV50: late_freeRes] :
( ( ( ~ ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) )
= $false )
| ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(1006,plain,
! [SV165: pi,SV99: pi,SV139: late_freeRes,SV50: late_freeRes] :
( ( ( SV50 != SV139 )
= $true )
| ( ( SV99 != SV165 )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV50 @ SV99 )
!= ( late_FreeR @ SV139 @ SV165 ) )
| ~ ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(1007,plain,
! [SV103: name,SV142: pi,SV168: late_residual,SV54: name] :
( ( ( ~ ~ ( ~ ~ ( ( SV54
!= ( sK12_SY470 @ SV168 @ SV142 @ SV103 @ SV54 ) )
| ( SV103
!= ( sK14_SY472 @ SV103 @ SV142 @ SV168 @ SV54 ) ) )
| ( SV142
!= ( sK11_SY463 @ SV168 @ SV142 @ SV103 @ SV54 ) ) )
| ~ ( late_transitions @ ( sK11_SY463 @ SV168 @ SV142 @ SV103 @ SV54 ) @ SV168 )
| ( ( sK12_SY470 @ SV168 @ SV142 @ SV103 @ SV54 )
= ( sK14_SY472 @ SV103 @ SV142 @ SV168 @ SV54 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[950]) ).
thf(1008,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false ) )
= $true )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(1009,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false ) )
= $true )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[953]) ).
thf(1010,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false ) )
= $true )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[955]) ).
thf(1011,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false ) )
= $true )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(1012,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[963]) ).
thf(1013,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(1014,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1015,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[969]) ).
thf(1016,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(1017,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(1018,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1019,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1020,plain,
! [SV151: late_residual,SV115: pi,SV19: name,SV68: name] :
( ( ( ( SV68 != SV19 )
| ( SV115
!= ( sK10_SY457 @ SV151 @ SV115 @ SV19 @ SV68 ) ) )
= $false )
| ( ( late_transitions @ ( match @ SV19 @ SV68 @ SV115 ) @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1021,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) )
= $false )
| ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1022,plain,
! [SV71: pi,SV118: pi,SV22: name] :
( ( ( fresh_name_pi @ SV22 @ SV118 )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV71 )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1023,plain,
! [SV76: late_freeRes,SV154: late_freeRes > pi > $o,SV123: pi,SV27: pi] :
( ( ( SV27 = SV123 )
= $true )
| ( ( SV154 @ SV76 @ SV123 )
= $true )
| ( ( late_transitions @ ( tau @ SV27 ) @ ( late_FreeR @ SV76 @ SV123 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[993]) ).
thf(1024,plain,
! [SV78: name,SV29: name,SV174: name > name > $o,SV156: late_residual,SV125: pi] :
( ( ( late_transitions @ SV125 @ SV156 )
= $true )
| ( ( SV174 @ SV29 @ SV78 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV29 @ SV78 @ SV125 ) @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[996]) ).
thf(1025,plain,
! [SV156: late_residual,SV125: pi,SV174: name > name > $o,SV78: name,SV29: name] :
( ( ( ~ ( ( SV29 != SV78 ) ) )
= $false )
| ( ( SV174 @ SV29 @ SV78 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV29 @ SV78 @ SV125 ) @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1026,plain,
! [SV156: late_residual,SV125: pi,SV78: name,SV29: name,SV174: name > name > $o] :
( ( ( SV174 @ SV29 @ SV78 )
= $false )
| ( ( SV174 @ SV29 @ SV78 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV29 @ SV78 @ SV125 ) @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1027,plain,
! [SV157: pi,SV126: pi,SV79: pi,SV30: pi] :
( ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
= $true )
| ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[998]) ).
thf(1028,plain,
! [SV157: pi,SV79: pi,SV126: pi,SV30: pi] :
( ( ( ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) )
= $true )
| ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[999]) ).
thf(1029,plain,
! [SV157: pi,SV79: pi,SV126: pi,SV30: pi] :
( ( ( SV30 = SV126 )
= $false )
| ( ( SV79 != SV157 )
= $true )
| ( ( ~ ( ( ( par @ SV30 @ SV79 )
!= ( par @ SV126 @ SV157 ) )
| ~ ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1030,plain,
! [SV95: late_residual,SV46: late_residual > $o] :
( ( ( SV46 @ ( late_FreeR @ ( sK13_SY298 @ SV95 @ SV46 ) @ ( sK15_SY473 @ SV95 @ SV46 ) ) )
= $false )
| ( ( SV46 @ SV95 )
= $true )
| ( ( SV46 @ ( late_BoundR @ ( sK4_SY295 @ SV95 @ SV46 ) @ ( sK7_SY467 @ SV95 @ SV46 ) @ ( sK9_SY469 @ SV95 @ SV46 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1001]) ).
thf(1031,plain,
! [SV98: name,SV49: name,SV177: name > name > $o,SV164: late_residual,SV138: pi] :
( ( ( late_transitions @ SV138 @ SV164 )
= $true )
| ( ( SV177 @ SV49 @ SV98 )
= $true )
| ( ( late_transitions @ ( match @ SV49 @ SV98 @ SV138 ) @ SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1002]) ).
thf(1032,plain,
! [SV164: late_residual,SV138: pi,SV177: name > name > $o,SV98: name,SV49: name] :
( ( ( SV49 != SV98 )
= $false )
| ( ( SV177 @ SV49 @ SV98 )
= $true )
| ( ( late_transitions @ ( match @ SV49 @ SV98 @ SV138 ) @ SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1003]) ).
thf(1033,plain,
! [SV164: late_residual,SV138: pi,SV98: name,SV49: name,SV177: name > name > $o] :
( ( ( SV177 @ SV49 @ SV49 )
= $false )
| ( ( SV177 @ SV49 @ SV98 )
= $true )
| ( ( late_transitions @ ( match @ SV49 @ SV98 @ SV138 ) @ SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1003]) ).
thf(1034,plain,
! [SV165: pi,SV139: late_freeRes,SV99: pi,SV50: late_freeRes] :
( ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
= $true )
| ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1035,plain,
! [SV165: pi,SV99: pi,SV139: late_freeRes,SV50: late_freeRes] :
( ( ( ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) )
= $true )
| ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1005]) ).
thf(1036,plain,
! [SV165: pi,SV99: pi,SV139: late_freeRes,SV50: late_freeRes] :
( ( ( SV50 = SV139 )
= $false )
| ( ( SV99 != SV165 )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV50 @ SV99 )
!= ( late_FreeR @ SV139 @ SV165 ) )
| ~ ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1037,plain,
! [SV103: name,SV142: pi,SV168: late_residual,SV54: name] :
( ( ( ~ ~ ( ~ ~ ( ( SV54
!= ( sK12_SY470 @ SV168 @ SV142 @ SV103 @ SV54 ) )
| ( SV103
!= ( sK14_SY472 @ SV103 @ SV142 @ SV168 @ SV54 ) ) )
| ( SV142
!= ( sK11_SY463 @ SV168 @ SV142 @ SV103 @ SV54 ) ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1007]) ).
thf(1038,plain,
! [SV54: name,SV103: name,SV142: pi,SV168: late_residual] :
( ( ( ~ ( late_transitions @ ( sK11_SY463 @ SV168 @ SV142 @ SV103 @ SV54 ) @ SV168 )
| ( ( sK12_SY470 @ SV168 @ SV142 @ SV103 @ SV54 )
= ( sK14_SY472 @ SV103 @ SV142 @ SV168 @ SV54 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1007]) ).
thf(1039,plain,
! [SV14: $o] :
( ( ( SV14
| $false )
= $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1040,plain,
! [SV14: $o] :
( ( ( SV14
| $false )
= $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1041,plain,
! [SV14: $o] :
( ( ( SV14
| $false )
= $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1042,plain,
! [SV14: $o] :
( ( ( SV14
| $false )
= $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1043,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1044,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1045,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1046,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1047,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1016]) ).
thf(1048,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1049,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1050,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1051,plain,
! [SV151: late_residual,SV115: pi,SV19: name,SV68: name] :
( ( ( SV68 != SV19 )
= $false )
| ( ( late_transitions @ ( match @ SV19 @ SV68 @ SV115 ) @ SV151 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1020]) ).
thf(1052,plain,
! [SV68: name,SV19: name,SV151: late_residual,SV115: pi] :
( ( ( SV115
!= ( sK10_SY457 @ SV151 @ SV115 @ SV19 @ SV68 ) )
= $false )
| ( ( late_transitions @ ( match @ SV19 @ SV68 @ SV115 ) @ SV151 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1020]) ).
thf(1053,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ( fresh_name_pi @ SV22 @ SV71 ) )
= $false )
| ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1021]) ).
thf(1054,plain,
! [SV71: pi,SV118: pi,SV22: name] :
( ( ( ~ ( fresh_name_pi @ SV22 @ SV118 ) )
= $false )
| ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1021]) ).
thf(1055,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
| ~ ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV71 )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1056,plain,
! [SV156: late_residual,SV125: pi,SV174: name > name > $o,SV78: name,SV29: name] :
( ( ( SV29 != SV78 )
= $true )
| ( ( SV174 @ SV29 @ SV78 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV29 @ SV78 @ SV125 ) @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1025]) ).
thf(1057,plain,
! [SV157: pi,SV79: pi,SV126: pi,SV30: pi] :
( ( ( ( SV30 != SV126 )
| ( SV79 != SV157 ) )
= $false )
| ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1058,plain,
! [SV126: pi,SV30: pi,SV157: pi,SV79: pi] :
( ( ( SV79 = SV157 )
= $false )
| ( ( SV30 = SV126 )
= $false )
| ( ( ~ ( ( ( par @ SV30 @ SV79 )
!= ( par @ SV126 @ SV157 ) )
| ~ ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1059,plain,
! [SV164: late_residual,SV138: pi,SV177: name > name > $o,SV98: name,SV49: name] :
( ( ( SV49 = SV98 )
= $true )
| ( ( SV177 @ SV49 @ SV98 )
= $true )
| ( ( late_transitions @ ( match @ SV49 @ SV98 @ SV138 ) @ SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1032]) ).
thf(1060,plain,
! [SV165: pi,SV99: pi,SV139: late_freeRes,SV50: late_freeRes] :
( ( ( ( SV50 != SV139 )
| ( SV99 != SV165 ) )
= $false )
| ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1035]) ).
thf(1061,plain,
! [SV139: late_freeRes,SV50: late_freeRes,SV165: pi,SV99: pi] :
( ( ( SV99 = SV165 )
= $false )
| ( ( SV50 = SV139 )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV50 @ SV99 )
!= ( late_FreeR @ SV139 @ SV165 ) )
| ~ ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1062,plain,
! [SV103: name,SV142: pi,SV168: late_residual,SV54: name] :
( ( ( ~ ( ~ ~ ( ( SV54
!= ( sK12_SY470 @ SV168 @ SV142 @ SV103 @ SV54 ) )
| ( SV103
!= ( sK14_SY472 @ SV103 @ SV142 @ SV168 @ SV54 ) ) )
| ( SV142
!= ( sK11_SY463 @ SV168 @ SV142 @ SV103 @ SV54 ) ) ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1037]) ).
thf(1063,plain,
! [SV54: name,SV103: name,SV142: pi,SV168: late_residual] :
( ( ( ~ ( late_transitions @ ( sK11_SY463 @ SV168 @ SV142 @ SV103 @ SV54 ) @ SV168 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1038]) ).
thf(1064,plain,
! [SV54: name,SV103: name,SV142: pi,SV168: late_residual] :
( ( ( ( sK12_SY470 @ SV168 @ SV142 @ SV103 @ SV54 )
= ( sK14_SY472 @ SV103 @ SV142 @ SV168 @ SV54 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1038]) ).
thf(1065,plain,
! [SV14: $o] :
( ( SV14 = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1039]) ).
thf(1066,plain,
! [SV14: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1039]) ).
thf(1067,plain,
! [SV14: $o] :
( ( SV14 = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1068,plain,
! [SV14: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1069,plain,
! [SV14: $o] :
( ( SV14 = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1070,plain,
! [SV14: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1071,plain,
! [SV14: $o] :
( ( SV14 = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1042]) ).
thf(1072,plain,
! [SV14: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1042]) ).
thf(1073,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1043]) ).
thf(1074,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1043]) ).
thf(1075,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1076,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1077,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1078,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1079,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1046]) ).
thf(1080,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1046]) ).
thf(1081,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1082,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1083,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1048]) ).
thf(1084,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1048]) ).
thf(1085,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1049]) ).
thf(1086,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1049]) ).
thf(1087,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1050]) ).
thf(1088,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1050]) ).
thf(1089,plain,
! [SV151: late_residual,SV115: pi,SV19: name,SV68: name] :
( ( ( SV68 = SV19 )
= $true )
| ( ( late_transitions @ ( match @ SV19 @ SV68 @ SV115 ) @ SV151 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1051]) ).
thf(1090,plain,
! [SV68: name,SV19: name,SV151: late_residual,SV115: pi] :
( ( ( SV115
= ( sK10_SY457 @ SV151 @ SV115 @ SV19 @ SV68 ) )
= $true )
| ( ( late_transitions @ ( match @ SV19 @ SV68 @ SV115 ) @ SV151 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1052]) ).
thf(1091,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( fresh_name_pi @ SV22 @ SV71 )
= $true )
| ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1053]) ).
thf(1092,plain,
! [SV71: pi,SV118: pi,SV22: name] :
( ( ( fresh_name_pi @ SV22 @ SV118 )
= $true )
| ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1054]) ).
thf(1093,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) ) )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV71 )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1055]) ).
thf(1094,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV71 )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1055]) ).
thf(1095,plain,
! [SV156: late_residual,SV125: pi,SV174: name > name > $o,SV78: name,SV29: name] :
( ( ( SV29 = SV78 )
= $false )
| ( ( SV174 @ SV29 @ SV78 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV29 @ SV78 @ SV125 ) @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1096,plain,
! [SV157: pi,SV79: pi,SV126: pi,SV30: pi] :
( ( ( SV30 != SV126 )
= $false )
| ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1057]) ).
thf(1097,plain,
! [SV126: pi,SV30: pi,SV157: pi,SV79: pi] :
( ( ( SV79 != SV157 )
= $false )
| ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1057]) ).
thf(1098,plain,
! [SV157: pi,SV126: pi,SV79: pi,SV30: pi] :
( ( ( ( ( par @ SV30 @ SV79 )
!= ( par @ SV126 @ SV157 ) )
| ~ ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) )
= $false )
| ( ( SV30 = SV126 )
= $false )
| ( ( SV79 = SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1099,plain,
! [SV165: pi,SV99: pi,SV139: late_freeRes,SV50: late_freeRes] :
( ( ( SV50 != SV139 )
= $false )
| ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1060]) ).
thf(1100,plain,
! [SV139: late_freeRes,SV50: late_freeRes,SV165: pi,SV99: pi] :
( ( ( SV99 != SV165 )
= $false )
| ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1060]) ).
thf(1101,plain,
! [SV165: pi,SV139: late_freeRes,SV99: pi,SV50: late_freeRes] :
( ( ( ( ( late_FreeR @ SV50 @ SV99 )
!= ( late_FreeR @ SV139 @ SV165 ) )
| ~ ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) )
= $false )
| ( ( SV50 = SV139 )
= $false )
| ( ( SV99 = SV165 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1061]) ).
thf(1102,plain,
! [SV103: name,SV142: pi,SV168: late_residual,SV54: name] :
( ( ( ~ ~ ( ( SV54
!= ( sK12_SY470 @ SV168 @ SV142 @ SV103 @ SV54 ) )
| ( SV103
!= ( sK14_SY472 @ SV103 @ SV142 @ SV168 @ SV54 ) ) )
| ( SV142
!= ( sK11_SY463 @ SV168 @ SV142 @ SV103 @ SV54 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1103,plain,
! [SV54: name,SV103: name,SV142: pi,SV168: late_residual] :
( ( ( late_transitions @ ( sK11_SY463 @ SV168 @ SV142 @ SV103 @ SV54 ) @ SV168 )
= $true )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1063]) ).
thf(1104,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( SV14 = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1105,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( $false = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1106,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( SV14 = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1107,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( $false = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1108,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( SV14 = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1109,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1110,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( SV14 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1111,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1112,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1113,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1114,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1115,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1116,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1077]) ).
thf(1117,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1078]) ).
thf(1118,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1079]) ).
thf(1119,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1120,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1121,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1122,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1083]) ).
thf(1123,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1124,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1085]) ).
thf(1125,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1086]) ).
thf(1126,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1087]) ).
thf(1127,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1128,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( fresh_name_pi @ SV22 @ ( par @ SV71 @ SV118 ) )
= $true )
| ( ( fresh_name_pi @ SV22 @ SV71 )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1093]) ).
thf(1129,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) ) )
= $true )
| ( ( fresh_name_pi @ SV22 @ SV71 )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1094]) ).
thf(1130,plain,
! [SV157: pi,SV79: pi,SV126: pi,SV30: pi] :
( ( ( SV30 = SV126 )
= $true )
| ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1096]) ).
thf(1131,plain,
! [SV126: pi,SV30: pi,SV157: pi,SV79: pi] :
( ( ( SV79 = SV157 )
= $true )
| ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1097]) ).
thf(1132,plain,
! [SV157: pi,SV126: pi,SV79: pi,SV30: pi] :
( ( ( ( par @ SV30 @ SV79 )
!= ( par @ SV126 @ SV157 ) )
= $false )
| ( ( SV30 = SV126 )
= $false )
| ( ( SV79 = SV157 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1133,plain,
! [SV157: pi,SV79: pi,SV126: pi,SV30: pi] :
( ( ( ~ ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) )
= $false )
| ( ( SV30 = SV126 )
= $false )
| ( ( SV79 = SV157 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1134,plain,
! [SV165: pi,SV99: pi,SV139: late_freeRes,SV50: late_freeRes] :
( ( ( SV50 = SV139 )
= $true )
| ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1099]) ).
thf(1135,plain,
! [SV139: late_freeRes,SV50: late_freeRes,SV165: pi,SV99: pi] :
( ( ( SV99 = SV165 )
= $true )
| ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1100]) ).
thf(1136,plain,
! [SV165: pi,SV139: late_freeRes,SV99: pi,SV50: late_freeRes] :
( ( ( ( late_FreeR @ SV50 @ SV99 )
!= ( late_FreeR @ SV139 @ SV165 ) )
= $false )
| ( ( SV50 = SV139 )
= $false )
| ( ( SV99 = SV165 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1137,plain,
! [SV165: pi,SV99: pi,SV139: late_freeRes,SV50: late_freeRes] :
( ( ( ~ ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) )
= $false )
| ( ( SV50 = SV139 )
= $false )
| ( ( SV99 = SV165 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1138,plain,
! [SV103: name,SV142: pi,SV168: late_residual,SV54: name] :
( ( ( ~ ~ ( ( SV54
!= ( sK12_SY470 @ SV168 @ SV142 @ SV103 @ SV54 ) )
| ( SV103
!= ( sK14_SY472 @ SV103 @ SV142 @ SV168 @ SV54 ) ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1102]) ).
thf(1139,plain,
! [SV54: name,SV103: name,SV168: late_residual,SV142: pi] :
( ( ( SV142
!= ( sK11_SY463 @ SV168 @ SV142 @ SV103 @ SV54 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1102]) ).
thf(1140,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( SV14 = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1141,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( SV14 = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1142,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( $false = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1105]) ).
thf(1143,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1105]) ).
thf(1144,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( SV14 = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1106]) ).
thf(1145,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( SV14 = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1106]) ).
thf(1146,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( $false = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1147,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1148,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( SV14 = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1108]) ).
thf(1149,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( SV14 = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1108]) ).
thf(1150,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1109]) ).
thf(1151,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1109]) ).
thf(1152,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( SV14 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1110]) ).
thf(1153,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( SV14 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1110]) ).
thf(1154,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1155,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1156,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1112]) ).
thf(1157,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1112]) ).
thf(1158,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1159,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1160,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1114]) ).
thf(1161,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1114]) ).
thf(1162,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1163,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1164,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1116]) ).
thf(1165,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1116]) ).
thf(1166,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1167,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1168,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1169,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1170,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1171,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1172,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1173,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1174,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1121]) ).
thf(1175,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1121]) ).
thf(1176,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1122]) ).
thf(1177,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1122]) ).
thf(1178,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1179,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1180,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1124]) ).
thf(1181,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1124]) ).
thf(1182,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1125]) ).
thf(1183,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1125]) ).
thf(1184,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1126]) ).
thf(1185,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1126]) ).
thf(1186,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1127]) ).
thf(1187,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1127]) ).
thf(1188,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ( fresh_name_pi @ SV22 @ SV71 )
| ~ ( fresh_name_pi @ SV22 @ SV118 ) )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV71 )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1189,plain,
! [SV157: pi,SV126: pi,SV79: pi,SV30: pi] :
( ( ( ( par @ SV30 @ SV79 )
= ( par @ SV126 @ SV157 ) )
= $true )
| ( ( SV30 = SV126 )
= $false )
| ( ( SV79 = SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1132]) ).
thf(1190,plain,
! [SV157: pi,SV79: pi,SV126: pi,SV30: pi] :
( ( ( ~ ( ( SV30 != SV126 )
| ( SV79 != SV157 ) ) )
= $true )
| ( ( SV30 = SV126 )
= $false )
| ( ( SV79 = SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1133]) ).
thf(1191,plain,
! [SV165: pi,SV139: late_freeRes,SV99: pi,SV50: late_freeRes] :
( ( ( ( late_FreeR @ SV50 @ SV99 )
= ( late_FreeR @ SV139 @ SV165 ) )
= $true )
| ( ( SV50 = SV139 )
= $false )
| ( ( SV99 = SV165 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1136]) ).
thf(1192,plain,
! [SV165: pi,SV99: pi,SV139: late_freeRes,SV50: late_freeRes] :
( ( ( ~ ( ( SV50 != SV139 )
| ( SV99 != SV165 ) ) )
= $true )
| ( ( SV50 = SV139 )
= $false )
| ( ( SV99 = SV165 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1137]) ).
thf(1193,plain,
! [SV103: name,SV142: pi,SV168: late_residual,SV54: name] :
( ( ( ~ ( ( SV54
!= ( sK12_SY470 @ SV168 @ SV142 @ SV103 @ SV54 ) )
| ( SV103
!= ( sK14_SY472 @ SV103 @ SV142 @ SV168 @ SV54 ) ) ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1194,plain,
! [SV54: name,SV103: name,SV168: late_residual,SV142: pi] :
( ( ( SV142
= ( sK11_SY463 @ SV168 @ SV142 @ SV103 @ SV54 ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1139]) ).
thf(1195,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( SV14 = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1140]) ).
thf(1196,plain,
! [SV14: $o] :
( ( $false = $true )
| ( SV14 = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1141]) ).
thf(1197,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( $false = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1198,plain,
! [SV14: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1143]) ).
thf(1199,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( SV14 = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1144]) ).
thf(1200,plain,
! [SV14: $o] :
( ( $false = $true )
| ( SV14 = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1201,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( $false = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1146]) ).
thf(1202,plain,
! [SV14: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1203,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( SV14 = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1204,plain,
! [SV14: $o] :
( ( $false = $true )
| ( SV14 = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1149]) ).
thf(1205,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1150]) ).
thf(1206,plain,
! [SV14: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1151]) ).
thf(1207,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( SV14 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1152]) ).
thf(1208,plain,
! [SV14: $o] :
( ( $false = $true )
| ( SV14 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1153]) ).
thf(1209,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1154]) ).
thf(1210,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1155]) ).
thf(1211,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1156]) ).
thf(1212,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1157]) ).
thf(1213,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1158]) ).
thf(1214,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1159]) ).
thf(1215,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1160]) ).
thf(1216,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1161]) ).
thf(1217,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1162]) ).
thf(1218,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1163]) ).
thf(1219,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1220,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1165]) ).
thf(1221,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1166]) ).
thf(1222,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1167]) ).
thf(1223,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1168]) ).
thf(1224,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1225,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1170]) ).
thf(1226,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1227,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1172]) ).
thf(1228,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1173]) ).
thf(1229,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1174]) ).
thf(1230,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1231,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1176]) ).
thf(1232,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1233,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1178]) ).
thf(1234,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1179]) ).
thf(1235,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1180]) ).
thf(1236,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1181]) ).
thf(1237,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1182]) ).
thf(1238,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1183]) ).
thf(1239,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1184]) ).
thf(1240,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1185]) ).
thf(1241,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1186]) ).
thf(1242,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1187]) ).
thf(1243,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( ~ ( fresh_name_pi @ SV22 @ SV71 ) )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV71 )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1188]) ).
thf(1244,plain,
! [SV71: pi,SV118: pi,SV22: name] :
( ( ( ~ ( fresh_name_pi @ SV22 @ SV118 ) )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV71 )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1188]) ).
thf(1245,plain,
! [SV157: pi,SV79: pi,SV126: pi,SV30: pi] :
( ( ( ( SV30 != SV126 )
| ( SV79 != SV157 ) )
= $false )
| ( ( SV30 = SV126 )
= $false )
| ( ( SV79 = SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1190]) ).
thf(1246,plain,
! [SV165: pi,SV99: pi,SV139: late_freeRes,SV50: late_freeRes] :
( ( ( ( SV50 != SV139 )
| ( SV99 != SV165 ) )
= $false )
| ( ( SV50 = SV139 )
= $false )
| ( ( SV99 = SV165 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1192]) ).
thf(1247,plain,
! [SV103: name,SV142: pi,SV168: late_residual,SV54: name] :
( ( ( ( SV54
!= ( sK12_SY470 @ SV168 @ SV142 @ SV103 @ SV54 ) )
| ( SV103
!= ( sK14_SY472 @ SV103 @ SV142 @ SV168 @ SV54 ) ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1248,plain,
! [SV118: pi,SV71: pi,SV22: name] :
( ( ( fresh_name_pi @ SV22 @ SV71 )
= $true )
| ( ( fresh_name_pi @ SV22 @ SV71 )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1243]) ).
thf(1249,plain,
! [SV71: pi,SV118: pi,SV22: name] :
( ( ( fresh_name_pi @ SV22 @ SV118 )
= $true )
| ( ( fresh_name_pi @ SV22 @ SV71 )
= $false )
| ( ( fresh_name_pi @ SV22 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1244]) ).
thf(1250,plain,
! [SV157: pi,SV79: pi,SV126: pi,SV30: pi] :
( ( ( SV30 != SV126 )
= $false )
| ( ( SV30 = SV126 )
= $false )
| ( ( SV79 = SV157 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1245]) ).
thf(1251,plain,
! [SV126: pi,SV30: pi,SV157: pi,SV79: pi] :
( ( ( SV79 != SV157 )
= $false )
| ( ( SV30 = SV126 )
= $false )
| ( ( SV79 = SV157 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1245]) ).
thf(1252,plain,
! [SV165: pi,SV99: pi,SV139: late_freeRes,SV50: late_freeRes] :
( ( ( SV50 != SV139 )
= $false )
| ( ( SV50 = SV139 )
= $false )
| ( ( SV99 = SV165 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1246]) ).
thf(1253,plain,
! [SV139: late_freeRes,SV50: late_freeRes,SV165: pi,SV99: pi] :
( ( ( SV99 != SV165 )
= $false )
| ( ( SV50 = SV139 )
= $false )
| ( ( SV99 = SV165 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1246]) ).
thf(1254,plain,
! [SV103: name,SV142: pi,SV168: late_residual,SV54: name] :
( ( ( SV54
!= ( sK12_SY470 @ SV168 @ SV142 @ SV103 @ SV54 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1247]) ).
thf(1255,plain,
! [SV54: name,SV168: late_residual,SV142: pi,SV103: name] :
( ( ( SV103
!= ( sK14_SY472 @ SV103 @ SV142 @ SV168 @ SV54 ) )
= $false )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1247]) ).
thf(1256,plain,
! [SV157: pi,SV79: pi,SV126: pi,SV30: pi] :
( ( ( SV30 = SV126 )
= $true )
| ( ( SV30 = SV126 )
= $false )
| ( ( SV79 = SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1250]) ).
thf(1257,plain,
! [SV126: pi,SV30: pi,SV157: pi,SV79: pi] :
( ( ( SV79 = SV157 )
= $true )
| ( ( SV30 = SV126 )
= $false )
| ( ( SV79 = SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1251]) ).
thf(1258,plain,
! [SV165: pi,SV99: pi,SV139: late_freeRes,SV50: late_freeRes] :
( ( ( SV50 = SV139 )
= $true )
| ( ( SV50 = SV139 )
= $false )
| ( ( SV99 = SV165 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1252]) ).
thf(1259,plain,
! [SV139: late_freeRes,SV50: late_freeRes,SV165: pi,SV99: pi] :
( ( ( SV99 = SV165 )
= $true )
| ( ( SV50 = SV139 )
= $false )
| ( ( SV99 = SV165 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1253]) ).
thf(1260,plain,
! [SV103: name,SV142: pi,SV168: late_residual,SV54: name] :
( ( ( SV54
= ( sK12_SY470 @ SV168 @ SV142 @ SV103 @ SV54 ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1254]) ).
thf(1261,plain,
! [SV54: name,SV168: late_residual,SV142: pi,SV103: name] :
( ( ( SV103
= ( sK14_SY472 @ SV103 @ SV142 @ SV168 @ SV54 ) )
= $true )
| ( ( late_transitions @ ( mismatch @ SV54 @ SV103 @ SV142 ) @ SV168 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1255]) ).
thf(1262,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[421,1261,1260,1259,1258,1257,1256,1249,1248,1242,1241,1240,1239,1238,1237,1236,1235,1234,1233,1232,1231,1230,1229,1228,1227,1226,1225,1224,1223,1222,1221,1220,1219,1218,1217,1216,1215,1214,1213,1212,1211,1210,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1199,1198,1197,1196,1195,1194,1191,1189,1135,1134,1131,1130,1128,1103,1095,1092,1091,1090,1089,1064,1059,1034,1033,1031,1030,1027,1026,1024,1023,995,994,992,989,988,986,985,984,983,982,980,978,976,974,973,972,971,970,968,966,964,962,961,960,959,958,956,954,952,945,935,907,906,905,900,899,898,896,890,834,830,827,825,823,820,814,810,808,807,806,796,790,785,779,777,775,768,767,761,751,741,740,732,720,711,708,705,702,701,698,690,680,673,649,645,599,598,597,590,560,558,545,533,532,432,428,427,426,425,424]) ).
thf(1263,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP186^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 11:18:51 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.90/2.46 ...
% 12.90/2.46
% 12.90/2.46 No.of.Axioms: 64
% 12.90/2.46
% 12.90/2.46 Length.of.Defs: 0
% 12.90/2.46
% 12.90/2.46 Contains.Choice.Funs: false
% 12.90/2.46 ............................
% 12.90/2.46
% 12.90/2.46 ********************************
% 12.90/2.46 * All subproblems solved! *
% 12.90/2.46 ********************************
% 12.90/2.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:64,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1262,loop_count:0,foatp_calls:1,translation:fof_full)
% 12.90/2.46
% 12.90/2.46 %**** Beginning of derivation protocol ****
% 12.90/2.46 % SZS output start CNFRefutation
% See solution above
% 12.90/2.47
% 12.90/2.47 %**** End of derivation protocol ****
% 12.90/2.47 %**** no. of clauses in derivation: 975 ****
% 12.90/2.47 %**** clause counter: 1262 ****
% 12.90/2.47
% 12.90/2.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:64,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1262,loop_count:0,foatp_calls:1,translation:fof_full)
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